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<div class="title">SimplicialCholesky.h</div>  </div>
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<div class="contents">
<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="comment">// This file is part of Eigen, a lightweight C++ template library</span></div>
<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="comment">// for linear algebra.</span></div>
<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="comment">// Copyright (C) 2008-2012 Gael Guennebaud &lt;gael.guennebaud@inria.fr&gt;</span></div>
<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="comment">// This Source Code Form is subject to the terms of the Mozilla</span></div>
<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="comment">// Public License v. 2.0. If a copy of the MPL was not distributed</span></div>
<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="comment">// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.</span></div>
<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160; </div>
<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#ifndef EIGEN_SIMPLICIAL_CHOLESKY_H</span></div>
<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#define EIGEN_SIMPLICIAL_CHOLESKY_H</span></div>
<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160; </div>
<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &quot;./InternalHeaderCheck.h&quot;</span></div>
<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160; </div>
<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespaceEigen.html">Eigen</a> { </div>
<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160; </div>
<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="keyword">enum</span> SimplicialCholeskyMode {</div>
<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;  SimplicialCholeskyLLT,</div>
<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;  SimplicialCholeskyLDLT</div>
<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;};</div>
<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160; </div>
<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="keyword">namespace </span>internal {</div>
<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> CholMatrixType, <span class="keyword">typename</span> InputMatrixType&gt;</div>
<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;  <span class="keyword">struct </span>simplicial_cholesky_grab_input {</div>
<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;    <span class="keyword">typedef</span> CholMatrixType <span class="keyword">const</span> * ConstCholMatrixPtr;</div>
<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;    <span class="keyword">static</span> <span class="keywordtype">void</span> run(<span class="keyword">const</span> InputMatrixType&amp; input, ConstCholMatrixPtr &amp;pmat, CholMatrixType &amp;tmp)</div>
<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;    {</div>
<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;      tmp = input;</div>
<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;      pmat = &amp;tmp;</div>
<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;    }</div>
<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;  };</div>
<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;  </div>
<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> MatrixType&gt;</div>
<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;  <span class="keyword">struct </span>simplicial_cholesky_grab_input&lt;MatrixType,MatrixType&gt; {</div>
<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;    <span class="keyword">typedef</span> MatrixType <span class="keyword">const</span> * ConstMatrixPtr;</div>
<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;    <span class="keyword">static</span> <span class="keywordtype">void</span> run(<span class="keyword">const</span> MatrixType&amp; input, ConstMatrixPtr &amp;pmat, MatrixType &amp;<span class="comment">/*tmp*/</span>)</div>
<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;    {</div>
<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      pmat = &amp;input;</div>
<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;    }</div>
<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;  };</div>
<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;} <span class="comment">// end namespace internal</span></div>
<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160; </div>
<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Derived&gt;</div>
<div class="line"><a name="l00057"></a><span class="lineno"><a class="line" href="classEigen_1_1SimplicialCholeskyBase.html">   57</a></span>&#160;<span class="keyword">class </span><a class="code" href="classEigen_1_1SimplicialCholeskyBase.html">SimplicialCholeskyBase</a> : <span class="keyword">public</span> <a class="code" href="classEigen_1_1SparseSolverBase.html">SparseSolverBase</a>&lt;Derived&gt;</div>
<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;{</div>
<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;    <span class="keyword">typedef</span> <a class="code" href="classEigen_1_1SparseSolverBase.html">SparseSolverBase&lt;Derived&gt;</a> <a class="code" href="classEigen_1_1SparseSolverBase.html">Base</a>;</div>
<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;    <span class="keyword">using</span> Base::m_isInitialized;</div>
<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;    </div>
<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;  <span class="keyword">public</span>:</div>
<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;    <span class="keyword">typedef</span> <span class="keyword">typename</span> internal::traits&lt;Derived&gt;::MatrixType MatrixType;</div>
<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;    <span class="keyword">typedef</span> <span class="keyword">typename</span> internal::traits&lt;Derived&gt;::OrderingType OrderingType;</div>
<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;    <span class="keyword">enum</span> { UpLo = internal::traits&lt;Derived&gt;::UpLo };</div>
<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;    <span class="keyword">typedef</span> <span class="keyword">typename</span> MatrixType::Scalar Scalar;</div>
<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;    <span class="keyword">typedef</span> <span class="keyword">typename</span> MatrixType::RealScalar RealScalar;</div>
<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;    <span class="keyword">typedef</span> <span class="keyword">typename</span> MatrixType::StorageIndex StorageIndex;</div>
<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;    <span class="keyword">typedef</span> <a class="code" href="classEigen_1_1SparseMatrix.html">SparseMatrix&lt;Scalar,ColMajor,StorageIndex&gt;</a> <a class="code" href="classEigen_1_1SparseMatrix.html">CholMatrixType</a>;</div>
<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;    <span class="keyword">typedef</span> <a class="code" href="classEigen_1_1SparseMatrix.html">CholMatrixType</a> <span class="keyword">const</span> * ConstCholMatrixPtr;</div>
<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;    <span class="keyword">typedef</span> <a class="code" href="classEigen_1_1Matrix.html">Matrix&lt;Scalar,Dynamic,1&gt;</a> <a class="code" href="classEigen_1_1Matrix.html">VectorType</a>;</div>
<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;    <span class="keyword">typedef</span> <a class="code" href="classEigen_1_1Matrix.html">Matrix&lt;StorageIndex,Dynamic,1&gt;</a> <a class="code" href="classEigen_1_1Matrix.html">VectorI</a>;</div>
<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160; </div>
<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;    <span class="keyword">enum</span> {</div>
<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;      ColsAtCompileTime = MatrixType::ColsAtCompileTime,</div>
<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;      MaxColsAtCompileTime = MatrixType::MaxColsAtCompileTime</div>
<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;    };</div>
<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160; </div>
<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;  <span class="keyword">public</span>:</div>
<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;    </div>
<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;    <span class="keyword">using</span> Base::derived;</div>
<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160; </div>
<div class="line"><a name="l00084"></a><span class="lineno"><a class="line" href="classEigen_1_1SimplicialCholeskyBase.html#a098baba1dbe07ca3a775c8df1f8a0e71">   84</a></span>&#160;    <a class="code" href="classEigen_1_1SimplicialCholeskyBase.html#a098baba1dbe07ca3a775c8df1f8a0e71">SimplicialCholeskyBase</a>()</div>
<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;      : m_info(<a class="code" href="group__enums.html#gga85fad7b87587764e5cf6b513a9e0ee5ea671a2aeb0f527802806a441d58a80fcf">Success</a>),</div>
<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;        m_factorizationIsOk(false),</div>
<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;        m_analysisIsOk(false),</div>
<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;        m_shiftOffset(0),</div>
<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;        m_shiftScale(1)</div>
<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;    {}</div>
<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160; </div>
<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;    <span class="keyword">explicit</span> <a class="code" href="classEigen_1_1SimplicialCholeskyBase.html#a098baba1dbe07ca3a775c8df1f8a0e71">SimplicialCholeskyBase</a>(<span class="keyword">const</span> MatrixType&amp; matrix)</div>
<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;      : m_info(<a class="code" href="group__enums.html#gga85fad7b87587764e5cf6b513a9e0ee5ea671a2aeb0f527802806a441d58a80fcf">Success</a>),</div>
<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;        m_factorizationIsOk(false),</div>
<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;        m_analysisIsOk(false),</div>
<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;        m_shiftOffset(0),</div>
<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;        m_shiftScale(1)</div>
<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;    {</div>
<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;      derived().compute(matrix);</div>
<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;    }</div>
<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160; </div>
<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;    ~<a class="code" href="classEigen_1_1SimplicialCholeskyBase.html#a098baba1dbe07ca3a775c8df1f8a0e71">SimplicialCholeskyBase</a>()</div>
<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;    {</div>
<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;    }</div>
<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160; </div>
<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;    Derived&amp; derived() { <span class="keywordflow">return</span> *<span class="keyword">static_cast&lt;</span>Derived*<span class="keyword">&gt;</span>(<span class="keyword">this</span>); }</div>
<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;    <span class="keyword">const</span> Derived&amp; derived()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> *<span class="keyword">static_cast&lt;</span><span class="keyword">const </span>Derived*<span class="keyword">&gt;</span>(<span class="keyword">this</span>); }</div>
<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;    </div>
<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;    <span class="keyword">inline</span> <a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> cols()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_matrix.<a class="code" href="classEigen_1_1SparseMatrix.html#a36b8cc95234b4e2de38a199b6b2af9fc">cols</a>(); }</div>
<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;    <span class="keyword">inline</span> <a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> rows()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_matrix.<a class="code" href="classEigen_1_1SparseMatrix.html#a853a76dd42349fa2f3654a4a61e0f574">rows</a>(); }</div>
<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;    </div>
<div class="line"><a name="l00117"></a><span class="lineno"><a class="line" href="classEigen_1_1SimplicialCholeskyBase.html#a3ac877f73aaaff670e6ae7554eb02fc8">  117</a></span>&#160;    <a class="code" href="group__enums.html#ga85fad7b87587764e5cf6b513a9e0ee5e">ComputationInfo</a> <a class="code" href="classEigen_1_1SimplicialCholeskyBase.html#a3ac877f73aaaff670e6ae7554eb02fc8">info</a>()<span class="keyword"> const</span></div>
<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;      eigen_assert(m_isInitialized &amp;&amp; <span class="stringliteral">&quot;Decomposition is not initialized.&quot;</span>);</div>
<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;      <span class="keywordflow">return</span> m_info;</div>
<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;    }</div>
<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;    </div>
<div class="line"><a name="l00125"></a><span class="lineno"><a class="line" href="classEigen_1_1SimplicialCholeskyBase.html#aff1480e595a21726beaec9a586a94d5a">  125</a></span>&#160;    <span class="keyword">const</span> <a class="code" href="classEigen_1_1PermutationMatrix.html">PermutationMatrix&lt;Dynamic,Dynamic,StorageIndex&gt;</a>&amp; <a class="code" href="classEigen_1_1SimplicialCholeskyBase.html#aff1480e595a21726beaec9a586a94d5a">permutationP</a>()<span class="keyword"> const</span></div>
<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;<span class="keyword">    </span>{ <span class="keywordflow">return</span> m_P; }</div>
<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;    </div>
<div class="line"><a name="l00130"></a><span class="lineno"><a class="line" href="classEigen_1_1SimplicialCholeskyBase.html#a0e23d1f4a88c211be7098faf1cb41674">  130</a></span>&#160;    <span class="keyword">const</span> <a class="code" href="classEigen_1_1PermutationMatrix.html">PermutationMatrix&lt;Dynamic,Dynamic,StorageIndex&gt;</a>&amp; <a class="code" href="classEigen_1_1SimplicialCholeskyBase.html#a0e23d1f4a88c211be7098faf1cb41674">permutationPinv</a>()<span class="keyword"> const</span></div>
<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;<span class="keyword">    </span>{ <span class="keywordflow">return</span> m_Pinv; }</div>
<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160; </div>
<div class="line"><a name="l00142"></a><span class="lineno"><a class="line" href="classEigen_1_1SimplicialCholeskyBase.html#a362352f755101faaac59c1ed9d5e3559">  142</a></span>&#160;    Derived&amp; <a class="code" href="classEigen_1_1SimplicialCholeskyBase.html#a362352f755101faaac59c1ed9d5e3559">setShift</a>(<span class="keyword">const</span> RealScalar&amp; offset, <span class="keyword">const</span> RealScalar&amp; scale = 1)</div>
<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;    {</div>
<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;      m_shiftOffset = offset;</div>
<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;      m_shiftScale = scale;</div>
<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;      <span class="keywordflow">return</span> derived();</div>
<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;    }</div>
<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160; </div>
<div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;<span class="preprocessor">#ifndef EIGEN_PARSED_BY_DOXYGEN</span></div>
<div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;    <span class="keyword">template</span>&lt;<span class="keyword">typename</span> Stream&gt;</div>
<div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;    <span class="keywordtype">void</span> dumpMemory(Stream&amp; s)</div>
<div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;    {</div>
<div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;      <span class="keywordtype">int</span> total = 0;</div>
<div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;      s &lt;&lt; <span class="stringliteral">&quot;  L:        &quot;</span> &lt;&lt; ((total+=(m_matrix.<a class="code" href="classEigen_1_1SparseMatrix.html#a36b8cc95234b4e2de38a199b6b2af9fc">cols</a>()+1) * <span class="keyword">sizeof</span>(<span class="keywordtype">int</span>) + m_matrix.<a class="code" href="classEigen_1_1SparseMatrix.html#a03de8b3da2c142ce8698a76123b3e7d3">nonZeros</a>()*(<span class="keyword">sizeof</span>(int)+<span class="keyword">sizeof</span>(Scalar))) &gt;&gt; 20) &lt;&lt; <span class="stringliteral">&quot;Mb&quot;</span> &lt;&lt; <span class="stringliteral">&quot;\n&quot;</span>;</div>
<div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;      s &lt;&lt; <span class="stringliteral">&quot;  diag:     &quot;</span> &lt;&lt; ((total+=m_diag.size() * <span class="keyword">sizeof</span>(Scalar)) &gt;&gt; 20) &lt;&lt; <span class="stringliteral">&quot;Mb&quot;</span> &lt;&lt; <span class="stringliteral">&quot;\n&quot;</span>;</div>
<div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;      s &lt;&lt; <span class="stringliteral">&quot;  tree:     &quot;</span> &lt;&lt; ((total+=m_parent.size() * <span class="keyword">sizeof</span>(int)) &gt;&gt; 20) &lt;&lt; <span class="stringliteral">&quot;Mb&quot;</span> &lt;&lt; <span class="stringliteral">&quot;\n&quot;</span>;</div>
<div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;      s &lt;&lt; <span class="stringliteral">&quot;  nonzeros: &quot;</span> &lt;&lt; ((total+=m_nonZerosPerCol.size() * <span class="keyword">sizeof</span>(int)) &gt;&gt; 20) &lt;&lt; <span class="stringliteral">&quot;Mb&quot;</span> &lt;&lt; <span class="stringliteral">&quot;\n&quot;</span>;</div>
<div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;      s &lt;&lt; <span class="stringliteral">&quot;  perm:     &quot;</span> &lt;&lt; ((total+=m_P.<a class="code" href="classEigen_1_1PermutationBase.html#a2216f9ce7b453ac39c46ff0323daeac9">size</a>() * <span class="keyword">sizeof</span>(int)) &gt;&gt; 20) &lt;&lt; <span class="stringliteral">&quot;Mb&quot;</span> &lt;&lt; <span class="stringliteral">&quot;\n&quot;</span>;</div>
<div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;      s &lt;&lt; <span class="stringliteral">&quot;  perm^-1:  &quot;</span> &lt;&lt; ((total+=m_Pinv.<a class="code" href="classEigen_1_1PermutationBase.html#a2216f9ce7b453ac39c46ff0323daeac9">size</a>() * <span class="keyword">sizeof</span>(int)) &gt;&gt; 20) &lt;&lt; <span class="stringliteral">&quot;Mb&quot;</span> &lt;&lt; <span class="stringliteral">&quot;\n&quot;</span>;</div>
<div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160;      s &lt;&lt; <span class="stringliteral">&quot;  TOTAL:    &quot;</span> &lt;&lt; (total&gt;&gt; 20) &lt;&lt; <span class="stringliteral">&quot;Mb&quot;</span> &lt;&lt; <span class="stringliteral">&quot;\n&quot;</span>;</div>
<div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;    }</div>
<div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160; </div>
<div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160;    <span class="keyword">template</span>&lt;<span class="keyword">typename</span> Rhs,<span class="keyword">typename</span> Dest&gt;</div>
<div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160;    <span class="keywordtype">void</span> _solve_impl(<span class="keyword">const</span> MatrixBase&lt;Rhs&gt; &amp;b, MatrixBase&lt;Dest&gt; &amp;dest)<span class="keyword"> const</span></div>
<div class="line"><a name="l00167"></a><span class="lineno">  167</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;      eigen_assert(m_factorizationIsOk &amp;&amp; <span class="stringliteral">&quot;The decomposition is not in a valid state for solving, you must first call either compute() or symbolic()/numeric()&quot;</span>);</div>
<div class="line"><a name="l00169"></a><span class="lineno">  169</span>&#160;      eigen_assert(m_matrix.<a class="code" href="classEigen_1_1SparseMatrix.html#a853a76dd42349fa2f3654a4a61e0f574">rows</a>()==b.rows());</div>
<div class="line"><a name="l00170"></a><span class="lineno">  170</span>&#160; </div>
<div class="line"><a name="l00171"></a><span class="lineno">  171</span>&#160;      <span class="keywordflow">if</span>(m_info!=<a class="code" href="group__enums.html#gga85fad7b87587764e5cf6b513a9e0ee5ea671a2aeb0f527802806a441d58a80fcf">Success</a>)</div>
<div class="line"><a name="l00172"></a><span class="lineno">  172</span>&#160;        <span class="keywordflow">return</span>;</div>
<div class="line"><a name="l00173"></a><span class="lineno">  173</span>&#160; </div>
<div class="line"><a name="l00174"></a><span class="lineno">  174</span>&#160;      <span class="keywordflow">if</span>(m_P.<a class="code" href="classEigen_1_1PermutationBase.html#a2216f9ce7b453ac39c46ff0323daeac9">size</a>()&gt;0)</div>
<div class="line"><a name="l00175"></a><span class="lineno">  175</span>&#160;        dest = m_P * b;</div>
<div class="line"><a name="l00176"></a><span class="lineno">  176</span>&#160;      <span class="keywordflow">else</span></div>
<div class="line"><a name="l00177"></a><span class="lineno">  177</span>&#160;        dest = b;</div>
<div class="line"><a name="l00178"></a><span class="lineno">  178</span>&#160; </div>
<div class="line"><a name="l00179"></a><span class="lineno">  179</span>&#160;      <span class="keywordflow">if</span>(m_matrix.<a class="code" href="classEigen_1_1SparseMatrix.html#a03de8b3da2c142ce8698a76123b3e7d3">nonZeros</a>()&gt;0) <span class="comment">// otherwise L==I</span></div>
<div class="line"><a name="l00180"></a><span class="lineno">  180</span>&#160;        derived().matrixL().solveInPlace(dest);</div>
<div class="line"><a name="l00181"></a><span class="lineno">  181</span>&#160; </div>
<div class="line"><a name="l00182"></a><span class="lineno">  182</span>&#160;      <span class="keywordflow">if</span>(m_diag.size()&gt;0)</div>
<div class="line"><a name="l00183"></a><span class="lineno">  183</span>&#160;        dest = m_diag.asDiagonal().inverse() * dest;</div>
<div class="line"><a name="l00184"></a><span class="lineno">  184</span>&#160; </div>
<div class="line"><a name="l00185"></a><span class="lineno">  185</span>&#160;      <span class="keywordflow">if</span> (m_matrix.<a class="code" href="classEigen_1_1SparseMatrix.html#a03de8b3da2c142ce8698a76123b3e7d3">nonZeros</a>()&gt;0) <span class="comment">// otherwise U==I</span></div>
<div class="line"><a name="l00186"></a><span class="lineno">  186</span>&#160;        derived().matrixU().solveInPlace(dest);</div>
<div class="line"><a name="l00187"></a><span class="lineno">  187</span>&#160; </div>
<div class="line"><a name="l00188"></a><span class="lineno">  188</span>&#160;      <span class="keywordflow">if</span>(m_P.<a class="code" href="classEigen_1_1PermutationBase.html#a2216f9ce7b453ac39c46ff0323daeac9">size</a>()&gt;0)</div>
<div class="line"><a name="l00189"></a><span class="lineno">  189</span>&#160;        dest = m_Pinv * dest;</div>
<div class="line"><a name="l00190"></a><span class="lineno">  190</span>&#160;    }</div>
<div class="line"><a name="l00191"></a><span class="lineno">  191</span>&#160;    </div>
<div class="line"><a name="l00192"></a><span class="lineno">  192</span>&#160;    <span class="keyword">template</span>&lt;<span class="keyword">typename</span> Rhs,<span class="keyword">typename</span> Dest&gt;</div>
<div class="line"><a name="l00193"></a><span class="lineno">  193</span>&#160;    <span class="keywordtype">void</span> _solve_impl(<span class="keyword">const</span> SparseMatrixBase&lt;Rhs&gt; &amp;b, SparseMatrixBase&lt;Dest&gt; &amp;dest)<span class="keyword"> const</span></div>
<div class="line"><a name="l00194"></a><span class="lineno">  194</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00195"></a><span class="lineno">  195</span>&#160;      internal::solve_sparse_through_dense_panels(derived(), b, dest);</div>
<div class="line"><a name="l00196"></a><span class="lineno">  196</span>&#160;    }</div>
<div class="line"><a name="l00197"></a><span class="lineno">  197</span>&#160; </div>
<div class="line"><a name="l00198"></a><span class="lineno">  198</span>&#160;<span class="preprocessor">#endif </span><span class="comment">// EIGEN_PARSED_BY_DOXYGEN</span></div>
<div class="line"><a name="l00199"></a><span class="lineno">  199</span>&#160; </div>
<div class="line"><a name="l00200"></a><span class="lineno">  200</span>&#160;  <span class="keyword">protected</span>:</div>
<div class="line"><a name="l00201"></a><span class="lineno">  201</span>&#160;    </div>
<div class="line"><a name="l00203"></a><span class="lineno">  203</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">bool</span> DoLDLT&gt;</div>
<div class="line"><a name="l00204"></a><span class="lineno"><a class="line" href="classEigen_1_1SimplicialCholeskyBase.html#a9a741744dda2261cae26cddf96a35bf0">  204</a></span>&#160;    <span class="keywordtype">void</span> <a class="code" href="classEigen_1_1SimplicialCholeskyBase.html#a9a741744dda2261cae26cddf96a35bf0">compute</a>(<span class="keyword">const</span> MatrixType&amp; matrix)</div>
<div class="line"><a name="l00205"></a><span class="lineno">  205</span>&#160;    {</div>
<div class="line"><a name="l00206"></a><span class="lineno">  206</span>&#160;      eigen_assert(matrix.rows()==matrix.cols());</div>
<div class="line"><a name="l00207"></a><span class="lineno">  207</span>&#160;      <a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> size = matrix.cols();</div>
<div class="line"><a name="l00208"></a><span class="lineno">  208</span>&#160;      <a class="code" href="classEigen_1_1SparseMatrix.html">CholMatrixType</a> tmp(size,size);</div>
<div class="line"><a name="l00209"></a><span class="lineno">  209</span>&#160;      ConstCholMatrixPtr pmat;</div>
<div class="line"><a name="l00210"></a><span class="lineno">  210</span>&#160;      ordering(matrix, pmat, tmp);</div>
<div class="line"><a name="l00211"></a><span class="lineno">  211</span>&#160;      analyzePattern_preordered(*pmat, DoLDLT);</div>
<div class="line"><a name="l00212"></a><span class="lineno">  212</span>&#160;      factorize_preordered&lt;DoLDLT&gt;(*pmat);</div>
<div class="line"><a name="l00213"></a><span class="lineno">  213</span>&#160;    }</div>
<div class="line"><a name="l00214"></a><span class="lineno">  214</span>&#160;    </div>
<div class="line"><a name="l00215"></a><span class="lineno">  215</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">bool</span> DoLDLT&gt;</div>
<div class="line"><a name="l00216"></a><span class="lineno">  216</span>&#160;    <span class="keywordtype">void</span> factorize(<span class="keyword">const</span> MatrixType&amp; a)</div>
<div class="line"><a name="l00217"></a><span class="lineno">  217</span>&#160;    {</div>
<div class="line"><a name="l00218"></a><span class="lineno">  218</span>&#160;      eigen_assert(a.rows()==a.cols());</div>
<div class="line"><a name="l00219"></a><span class="lineno">  219</span>&#160;      <a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> size = a.cols();</div>
<div class="line"><a name="l00220"></a><span class="lineno">  220</span>&#160;      CholMatrixType tmp(size,size);</div>
<div class="line"><a name="l00221"></a><span class="lineno">  221</span>&#160;      ConstCholMatrixPtr pmat;</div>
<div class="line"><a name="l00222"></a><span class="lineno">  222</span>&#160;      </div>
<div class="line"><a name="l00223"></a><span class="lineno">  223</span>&#160;      <span class="keywordflow">if</span>(m_P.<a class="code" href="classEigen_1_1PermutationBase.html#a2216f9ce7b453ac39c46ff0323daeac9">size</a>() == 0 &amp;&amp; (<span class="keywordtype">int</span>(UpLo) &amp; <span class="keywordtype">int</span>(<a class="code" href="group__enums.html#gga39e3366ff5554d731e7dc8bb642f83cdafca2ccebb604f171656deb53e8c083c1">Upper</a>)) == <a class="code" href="group__enums.html#gga39e3366ff5554d731e7dc8bb642f83cdafca2ccebb604f171656deb53e8c083c1">Upper</a>)</div>
<div class="line"><a name="l00224"></a><span class="lineno">  224</span>&#160;      {</div>
<div class="line"><a name="l00225"></a><span class="lineno">  225</span>&#160;        <span class="comment">// If there is no ordering, try to directly use the input matrix without any copy</span></div>
<div class="line"><a name="l00226"></a><span class="lineno">  226</span>&#160;        internal::simplicial_cholesky_grab_input&lt;CholMatrixType,MatrixType&gt;::run(a, pmat, tmp);</div>
<div class="line"><a name="l00227"></a><span class="lineno">  227</span>&#160;      }</div>
<div class="line"><a name="l00228"></a><span class="lineno">  228</span>&#160;      <span class="keywordflow">else</span></div>
<div class="line"><a name="l00229"></a><span class="lineno">  229</span>&#160;      {</div>
<div class="line"><a name="l00230"></a><span class="lineno">  230</span>&#160;        tmp.template selfadjointView&lt;Upper&gt;() = a.template selfadjointView&lt;UpLo&gt;().twistedBy(m_P);</div>
<div class="line"><a name="l00231"></a><span class="lineno">  231</span>&#160;        pmat = &amp;tmp;</div>
<div class="line"><a name="l00232"></a><span class="lineno">  232</span>&#160;      }</div>
<div class="line"><a name="l00233"></a><span class="lineno">  233</span>&#160;      </div>
<div class="line"><a name="l00234"></a><span class="lineno">  234</span>&#160;      factorize_preordered&lt;DoLDLT&gt;(*pmat);</div>
<div class="line"><a name="l00235"></a><span class="lineno">  235</span>&#160;    }</div>
<div class="line"><a name="l00236"></a><span class="lineno">  236</span>&#160; </div>
<div class="line"><a name="l00237"></a><span class="lineno">  237</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">bool</span> DoLDLT&gt;</div>
<div class="line"><a name="l00238"></a><span class="lineno">  238</span>&#160;    <span class="keywordtype">void</span> factorize_preordered(<span class="keyword">const</span> CholMatrixType&amp; a);</div>
<div class="line"><a name="l00239"></a><span class="lineno">  239</span>&#160; </div>
<div class="line"><a name="l00240"></a><span class="lineno">  240</span>&#160;    <span class="keywordtype">void</span> analyzePattern(<span class="keyword">const</span> MatrixType&amp; a, <span class="keywordtype">bool</span> doLDLT)</div>
<div class="line"><a name="l00241"></a><span class="lineno">  241</span>&#160;    {</div>
<div class="line"><a name="l00242"></a><span class="lineno">  242</span>&#160;      eigen_assert(a.rows()==a.cols());</div>
<div class="line"><a name="l00243"></a><span class="lineno">  243</span>&#160;      <a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> size = a.cols();</div>
<div class="line"><a name="l00244"></a><span class="lineno">  244</span>&#160;      CholMatrixType tmp(size,size);</div>
<div class="line"><a name="l00245"></a><span class="lineno">  245</span>&#160;      ConstCholMatrixPtr pmat;</div>
<div class="line"><a name="l00246"></a><span class="lineno">  246</span>&#160;      ordering(a, pmat, tmp);</div>
<div class="line"><a name="l00247"></a><span class="lineno">  247</span>&#160;      analyzePattern_preordered(*pmat,doLDLT);</div>
<div class="line"><a name="l00248"></a><span class="lineno">  248</span>&#160;    }</div>
<div class="line"><a name="l00249"></a><span class="lineno">  249</span>&#160;    <span class="keywordtype">void</span> analyzePattern_preordered(<span class="keyword">const</span> CholMatrixType&amp; a, <span class="keywordtype">bool</span> doLDLT);</div>
<div class="line"><a name="l00250"></a><span class="lineno">  250</span>&#160;    </div>
<div class="line"><a name="l00251"></a><span class="lineno">  251</span>&#160;    <span class="keywordtype">void</span> ordering(<span class="keyword">const</span> MatrixType&amp; a, ConstCholMatrixPtr &amp;pmat, CholMatrixType&amp; ap);</div>
<div class="line"><a name="l00252"></a><span class="lineno">  252</span>&#160; </div>
<div class="line"><a name="l00254"></a><span class="lineno"><a class="line" href="structEigen_1_1SimplicialCholeskyBase_1_1keep__diag.html">  254</a></span>&#160;    <span class="keyword">struct </span><a class="code" href="structEigen_1_1SimplicialCholeskyBase_1_1keep__diag.html">keep_diag</a> {</div>
<div class="line"><a name="l00255"></a><span class="lineno">  255</span>&#160;      <span class="keyword">inline</span> <span class="keywordtype">bool</span> operator() (<span class="keyword">const</span> <a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a>&amp; row, <span class="keyword">const</span> <a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a>&amp; col, <span class="keyword">const</span> Scalar&amp;)<span class="keyword"> const</span></div>
<div class="line"><a name="l00256"></a><span class="lineno">  256</span>&#160;<span class="keyword">      </span>{</div>
<div class="line"><a name="l00257"></a><span class="lineno">  257</span>&#160;        <span class="keywordflow">return</span> row!=col;</div>
<div class="line"><a name="l00258"></a><span class="lineno">  258</span>&#160;      }</div>
<div class="line"><a name="l00259"></a><span class="lineno">  259</span>&#160;    };</div>
<div class="line"><a name="l00260"></a><span class="lineno">  260</span>&#160; </div>
<div class="line"><a name="l00261"></a><span class="lineno">  261</span>&#160;    <span class="keyword">mutable</span> <a class="code" href="group__enums.html#ga85fad7b87587764e5cf6b513a9e0ee5e">ComputationInfo</a> m_info;</div>
<div class="line"><a name="l00262"></a><span class="lineno">  262</span>&#160;    <span class="keywordtype">bool</span> m_factorizationIsOk;</div>
<div class="line"><a name="l00263"></a><span class="lineno">  263</span>&#160;    <span class="keywordtype">bool</span> m_analysisIsOk;</div>
<div class="line"><a name="l00264"></a><span class="lineno">  264</span>&#160;    </div>
<div class="line"><a name="l00265"></a><span class="lineno">  265</span>&#160;    <a class="code" href="classEigen_1_1SparseMatrix.html">CholMatrixType</a> m_matrix;</div>
<div class="line"><a name="l00266"></a><span class="lineno">  266</span>&#160;    <a class="code" href="classEigen_1_1Matrix.html">VectorType</a> m_diag;                                <span class="comment">// the diagonal coefficients (LDLT mode)</span></div>
<div class="line"><a name="l00267"></a><span class="lineno">  267</span>&#160;    <a class="code" href="classEigen_1_1Matrix.html">VectorI</a> m_parent;                                 <span class="comment">// elimination tree</span></div>
<div class="line"><a name="l00268"></a><span class="lineno">  268</span>&#160;    <a class="code" href="classEigen_1_1Matrix.html">VectorI</a> m_nonZerosPerCol;</div>
<div class="line"><a name="l00269"></a><span class="lineno">  269</span>&#160;    <a class="code" href="classEigen_1_1PermutationMatrix.html">PermutationMatrix&lt;Dynamic,Dynamic,StorageIndex&gt;</a> m_P;     <span class="comment">// the permutation</span></div>
<div class="line"><a name="l00270"></a><span class="lineno">  270</span>&#160;    <a class="code" href="classEigen_1_1PermutationMatrix.html">PermutationMatrix&lt;Dynamic,Dynamic,StorageIndex&gt;</a> m_Pinv;  <span class="comment">// the inverse permutation</span></div>
<div class="line"><a name="l00271"></a><span class="lineno">  271</span>&#160; </div>
<div class="line"><a name="l00272"></a><span class="lineno">  272</span>&#160;    RealScalar m_shiftOffset;</div>
<div class="line"><a name="l00273"></a><span class="lineno">  273</span>&#160;    RealScalar m_shiftScale;</div>
<div class="line"><a name="l00274"></a><span class="lineno">  274</span>&#160;};</div>
<div class="line"><a name="l00275"></a><span class="lineno">  275</span>&#160; </div>
<div class="line"><a name="l00276"></a><span class="lineno">  276</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> MatrixType_, <span class="keywordtype">int</span> UpLo_ = Lower, <span class="keyword">typename</span> Ordering_ = AMDOrdering&lt;<span class="keyword">typename</span> MatrixType_::StorageIndex&gt; &gt; <span class="keyword">class </span><a class="code" href="classEigen_1_1SimplicialLLT.html">SimplicialLLT</a>;</div>
<div class="line"><a name="l00277"></a><span class="lineno">  277</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> MatrixType_, <span class="keywordtype">int</span> UpLo_ = Lower, <span class="keyword">typename</span> Ordering_ = AMDOrdering&lt;<span class="keyword">typename</span> MatrixType_::StorageIndex&gt; &gt; <span class="keyword">class </span><a class="code" href="classEigen_1_1SimplicialLDLT.html">SimplicialLDLT</a>;</div>
<div class="line"><a name="l00278"></a><span class="lineno">  278</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> MatrixType_, <span class="keywordtype">int</span> UpLo_ = Lower, <span class="keyword">typename</span> Ordering_ = AMDOrdering&lt;<span class="keyword">typename</span> MatrixType_::StorageIndex&gt; &gt; <span class="keyword">class </span><a class="code" href="classEigen_1_1SimplicialCholesky.html">SimplicialCholesky</a>;</div>
<div class="line"><a name="l00279"></a><span class="lineno">  279</span>&#160; </div>
<div class="line"><a name="l00280"></a><span class="lineno">  280</span>&#160;<span class="keyword">namespace </span>internal {</div>
<div class="line"><a name="l00281"></a><span class="lineno">  281</span>&#160; </div>
<div class="line"><a name="l00282"></a><span class="lineno">  282</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> MatrixType_, <span class="keywordtype">int</span> UpLo_, <span class="keyword">typename</span> Ordering_&gt; <span class="keyword">struct </span>traits&lt;<a class="code" href="classEigen_1_1SimplicialLLT.html">SimplicialLLT</a>&lt;MatrixType_,UpLo_,Ordering_&gt; &gt;</div>
<div class="line"><a name="l00283"></a><span class="lineno">  283</span>&#160;{</div>
<div class="line"><a name="l00284"></a><span class="lineno">  284</span>&#160;  <span class="keyword">typedef</span> MatrixType_ MatrixType;</div>
<div class="line"><a name="l00285"></a><span class="lineno">  285</span>&#160;  <span class="keyword">typedef</span> Ordering_ OrderingType;</div>
<div class="line"><a name="l00286"></a><span class="lineno">  286</span>&#160;  <span class="keyword">enum</span> { UpLo = UpLo_ };</div>
<div class="line"><a name="l00287"></a><span class="lineno">  287</span>&#160;  <span class="keyword">typedef</span> <span class="keyword">typename</span> MatrixType::Scalar                         Scalar;</div>
<div class="line"><a name="l00288"></a><span class="lineno">  288</span>&#160;  <span class="keyword">typedef</span> <span class="keyword">typename</span> MatrixType::StorageIndex                   StorageIndex;</div>
<div class="line"><a name="l00289"></a><span class="lineno">  289</span>&#160;  <span class="keyword">typedef</span> SparseMatrix&lt;Scalar, ColMajor, StorageIndex&gt;        CholMatrixType;</div>
<div class="line"><a name="l00290"></a><span class="lineno">  290</span>&#160;  <span class="keyword">typedef</span> TriangularView&lt;const CholMatrixType, Eigen::Lower&gt;  MatrixL;</div>
<div class="line"><a name="l00291"></a><span class="lineno">  291</span>&#160;  <span class="keyword">typedef</span> TriangularView&lt;const typename CholMatrixType::AdjointReturnType, Eigen::Upper&gt;   MatrixU;</div>
<div class="line"><a name="l00292"></a><span class="lineno">  292</span>&#160;  <span class="keyword">static</span> <span class="keyword">inline</span> MatrixL getL(<span class="keyword">const</span> CholMatrixType&amp; m) { <span class="keywordflow">return</span> MatrixL(m); }</div>
<div class="line"><a name="l00293"></a><span class="lineno">  293</span>&#160;  <span class="keyword">static</span> <span class="keyword">inline</span> MatrixU getU(<span class="keyword">const</span> CholMatrixType&amp; m) { <span class="keywordflow">return</span> MatrixU(m.adjoint()); }</div>
<div class="line"><a name="l00294"></a><span class="lineno">  294</span>&#160;};</div>
<div class="line"><a name="l00295"></a><span class="lineno">  295</span>&#160; </div>
<div class="line"><a name="l00296"></a><span class="lineno">  296</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> MatrixType_,<span class="keywordtype">int</span> UpLo_, <span class="keyword">typename</span> Ordering_&gt; <span class="keyword">struct </span>traits&lt;SimplicialLDLT&lt;MatrixType_,UpLo_,Ordering_&gt; &gt;</div>
<div class="line"><a name="l00297"></a><span class="lineno">  297</span>&#160;{</div>
<div class="line"><a name="l00298"></a><span class="lineno">  298</span>&#160;  <span class="keyword">typedef</span> MatrixType_ MatrixType;</div>
<div class="line"><a name="l00299"></a><span class="lineno">  299</span>&#160;  <span class="keyword">typedef</span> Ordering_ OrderingType;</div>
<div class="line"><a name="l00300"></a><span class="lineno">  300</span>&#160;  <span class="keyword">enum</span> { UpLo = UpLo_ };</div>
<div class="line"><a name="l00301"></a><span class="lineno">  301</span>&#160;  <span class="keyword">typedef</span> <span class="keyword">typename</span> MatrixType::Scalar                             Scalar;</div>
<div class="line"><a name="l00302"></a><span class="lineno">  302</span>&#160;  <span class="keyword">typedef</span> <span class="keyword">typename</span> MatrixType::StorageIndex                       StorageIndex;</div>
<div class="line"><a name="l00303"></a><span class="lineno">  303</span>&#160;  <span class="keyword">typedef</span> SparseMatrix&lt;Scalar, ColMajor, StorageIndex&gt;            CholMatrixType;</div>
<div class="line"><a name="l00304"></a><span class="lineno">  304</span>&#160;  <span class="keyword">typedef</span> TriangularView&lt;const CholMatrixType, Eigen::UnitLower&gt;  MatrixL;</div>
<div class="line"><a name="l00305"></a><span class="lineno">  305</span>&#160;  <span class="keyword">typedef</span> TriangularView&lt;const typename CholMatrixType::AdjointReturnType, Eigen::UnitUpper&gt; MatrixU;</div>
<div class="line"><a name="l00306"></a><span class="lineno">  306</span>&#160;  <span class="keyword">static</span> <span class="keyword">inline</span> MatrixL getL(<span class="keyword">const</span> CholMatrixType&amp; m) { <span class="keywordflow">return</span> MatrixL(m); }</div>
<div class="line"><a name="l00307"></a><span class="lineno">  307</span>&#160;  <span class="keyword">static</span> <span class="keyword">inline</span> MatrixU getU(<span class="keyword">const</span> CholMatrixType&amp; m) { <span class="keywordflow">return</span> MatrixU(m.adjoint()); }</div>
<div class="line"><a name="l00308"></a><span class="lineno">  308</span>&#160;};</div>
<div class="line"><a name="l00309"></a><span class="lineno">  309</span>&#160; </div>
<div class="line"><a name="l00310"></a><span class="lineno">  310</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> MatrixType_, <span class="keywordtype">int</span> UpLo_, <span class="keyword">typename</span> Ordering_&gt; <span class="keyword">struct </span>traits&lt;SimplicialCholesky&lt;MatrixType_,UpLo_,Ordering_&gt; &gt;</div>
<div class="line"><a name="l00311"></a><span class="lineno">  311</span>&#160;{</div>
<div class="line"><a name="l00312"></a><span class="lineno">  312</span>&#160;  <span class="keyword">typedef</span> MatrixType_ MatrixType;</div>
<div class="line"><a name="l00313"></a><span class="lineno">  313</span>&#160;  <span class="keyword">typedef</span> Ordering_ OrderingType;</div>
<div class="line"><a name="l00314"></a><span class="lineno">  314</span>&#160;  <span class="keyword">enum</span> { UpLo = UpLo_ };</div>
<div class="line"><a name="l00315"></a><span class="lineno">  315</span>&#160;};</div>
<div class="line"><a name="l00316"></a><span class="lineno">  316</span>&#160; </div>
<div class="line"><a name="l00317"></a><span class="lineno">  317</span>&#160;}</div>
<div class="line"><a name="l00318"></a><span class="lineno">  318</span>&#160; </div>
<div class="line"><a name="l00339"></a><span class="lineno">  339</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> MatrixType_, <span class="keywordtype">int</span> UpLo_, <span class="keyword">typename</span> Ordering_&gt;</div>
<div class="line"><a name="l00340"></a><span class="lineno"><a class="line" href="classEigen_1_1SimplicialLLT.html">  340</a></span>&#160;    <span class="keyword">class </span><a class="code" href="classEigen_1_1SimplicialLLT.html">SimplicialLLT</a> : <span class="keyword">public</span> <a class="code" href="classEigen_1_1SimplicialCholeskyBase.html">SimplicialCholeskyBase</a>&lt;SimplicialLLT&lt;MatrixType_,UpLo_,Ordering_&gt; &gt;</div>
<div class="line"><a name="l00341"></a><span class="lineno">  341</span>&#160;{</div>
<div class="line"><a name="l00342"></a><span class="lineno">  342</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00343"></a><span class="lineno">  343</span>&#160;    <span class="keyword">typedef</span> MatrixType_ MatrixType;</div>
<div class="line"><a name="l00344"></a><span class="lineno">  344</span>&#160;    <span class="keyword">enum</span> { UpLo = UpLo_ };</div>
<div class="line"><a name="l00345"></a><span class="lineno">  345</span>&#160;    <span class="keyword">typedef</span> <a class="code" href="classEigen_1_1SimplicialCholeskyBase.html">SimplicialCholeskyBase&lt;SimplicialLLT&gt;</a> <a class="code" href="classEigen_1_1SimplicialCholeskyBase.html">Base</a>;</div>
<div class="line"><a name="l00346"></a><span class="lineno">  346</span>&#160;    <span class="keyword">typedef</span> <span class="keyword">typename</span> MatrixType::Scalar Scalar;</div>
<div class="line"><a name="l00347"></a><span class="lineno">  347</span>&#160;    <span class="keyword">typedef</span> <span class="keyword">typename</span> MatrixType::RealScalar RealScalar;</div>
<div class="line"><a name="l00348"></a><span class="lineno">  348</span>&#160;    <span class="keyword">typedef</span> <span class="keyword">typename</span> MatrixType::StorageIndex StorageIndex;</div>
<div class="line"><a name="l00349"></a><span class="lineno">  349</span>&#160;    <span class="keyword">typedef</span> <a class="code" href="classEigen_1_1SparseMatrix.html">SparseMatrix&lt;Scalar,ColMajor,Index&gt;</a> <a class="code" href="classEigen_1_1SparseMatrix.html">CholMatrixType</a>;</div>
<div class="line"><a name="l00350"></a><span class="lineno">  350</span>&#160;    <span class="keyword">typedef</span> <a class="code" href="classEigen_1_1Matrix.html">Matrix&lt;Scalar,Dynamic,1&gt;</a> <a class="code" href="classEigen_1_1Matrix.html">VectorType</a>;</div>
<div class="line"><a name="l00351"></a><span class="lineno">  351</span>&#160;    <span class="keyword">typedef</span> internal::traits&lt;SimplicialLLT&gt; Traits;</div>
<div class="line"><a name="l00352"></a><span class="lineno">  352</span>&#160;    <span class="keyword">typedef</span> <span class="keyword">typename</span> Traits::MatrixL  MatrixL;</div>
<div class="line"><a name="l00353"></a><span class="lineno">  353</span>&#160;    <span class="keyword">typedef</span> <span class="keyword">typename</span> Traits::MatrixU  MatrixU;</div>
<div class="line"><a name="l00354"></a><span class="lineno">  354</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00356"></a><span class="lineno"><a class="line" href="classEigen_1_1SimplicialLLT.html#ad99c2c97ef0b1b46e7f5ef2e1f46ee7b">  356</a></span>&#160;    <a class="code" href="classEigen_1_1SimplicialLLT.html#ad99c2c97ef0b1b46e7f5ef2e1f46ee7b">SimplicialLLT</a>() : <a class="code" href="classEigen_1_1SimplicialCholeskyBase.html">Base</a>() {}</div>
<div class="line"><a name="l00358"></a><span class="lineno"><a class="line" href="classEigen_1_1SimplicialLLT.html#afe8ad6af657317e0e19a289dbb19d129">  358</a></span>&#160;    <span class="keyword">explicit</span> <a class="code" href="classEigen_1_1SimplicialLLT.html#afe8ad6af657317e0e19a289dbb19d129">SimplicialLLT</a>(<span class="keyword">const</span> MatrixType&amp; matrix)</div>
<div class="line"><a name="l00359"></a><span class="lineno">  359</span>&#160;        : <a class="code" href="classEigen_1_1SimplicialCholeskyBase.html">Base</a>(matrix) {}</div>
<div class="line"><a name="l00360"></a><span class="lineno">  360</span>&#160; </div>
<div class="line"><a name="l00362"></a><span class="lineno"><a class="line" href="classEigen_1_1SimplicialLLT.html#a5ab0ef5f99451f7e0d46e8c92bb598fb">  362</a></span>&#160;    <span class="keyword">inline</span> <span class="keyword">const</span> MatrixL <a class="code" href="classEigen_1_1SimplicialLLT.html#a5ab0ef5f99451f7e0d46e8c92bb598fb">matrixL</a>()<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00363"></a><span class="lineno">  363</span>&#160;        eigen_assert(Base::m_factorizationIsOk &amp;&amp; <span class="stringliteral">&quot;Simplicial LLT not factorized&quot;</span>);</div>
<div class="line"><a name="l00364"></a><span class="lineno">  364</span>&#160;        <span class="keywordflow">return</span> Traits::getL(Base::m_matrix);</div>
<div class="line"><a name="l00365"></a><span class="lineno">  365</span>&#160;    }</div>
<div class="line"><a name="l00366"></a><span class="lineno">  366</span>&#160; </div>
<div class="line"><a name="l00368"></a><span class="lineno"><a class="line" href="classEigen_1_1SimplicialLLT.html#acfa0d751182344d2b4b97f044fa62720">  368</a></span>&#160;    <span class="keyword">inline</span> <span class="keyword">const</span> MatrixU <a class="code" href="classEigen_1_1SimplicialLLT.html#acfa0d751182344d2b4b97f044fa62720">matrixU</a>()<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00369"></a><span class="lineno">  369</span>&#160;        eigen_assert(Base::m_factorizationIsOk &amp;&amp; <span class="stringliteral">&quot;Simplicial LLT not factorized&quot;</span>);</div>
<div class="line"><a name="l00370"></a><span class="lineno">  370</span>&#160;        <span class="keywordflow">return</span> Traits::getU(Base::m_matrix);</div>
<div class="line"><a name="l00371"></a><span class="lineno">  371</span>&#160;    }</div>
<div class="line"><a name="l00372"></a><span class="lineno">  372</span>&#160;    </div>
<div class="line"><a name="l00374"></a><span class="lineno"><a class="line" href="classEigen_1_1SimplicialLLT.html#abad3fde90ed6ddb3d3c7797018413f80">  374</a></span>&#160;    <a class="code" href="classEigen_1_1SimplicialLLT.html">SimplicialLLT</a>&amp; <a class="code" href="classEigen_1_1SimplicialLLT.html#abad3fde90ed6ddb3d3c7797018413f80">compute</a>(<span class="keyword">const</span> MatrixType&amp; matrix)</div>
<div class="line"><a name="l00375"></a><span class="lineno">  375</span>&#160;    {</div>
<div class="line"><a name="l00376"></a><span class="lineno">  376</span>&#160;      Base::template compute&lt;false&gt;(matrix);</div>
<div class="line"><a name="l00377"></a><span class="lineno">  377</span>&#160;      <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00378"></a><span class="lineno">  378</span>&#160;    }</div>
<div class="line"><a name="l00379"></a><span class="lineno">  379</span>&#160; </div>
<div class="line"><a name="l00386"></a><span class="lineno"><a class="line" href="classEigen_1_1SimplicialLLT.html#adfdbccd4e817d2c8ff1226ae083b5498">  386</a></span>&#160;    <span class="keywordtype">void</span> <a class="code" href="classEigen_1_1SimplicialLLT.html#adfdbccd4e817d2c8ff1226ae083b5498">analyzePattern</a>(<span class="keyword">const</span> MatrixType&amp; a)</div>
<div class="line"><a name="l00387"></a><span class="lineno">  387</span>&#160;    {</div>
<div class="line"><a name="l00388"></a><span class="lineno">  388</span>&#160;      Base::analyzePattern(a, <span class="keyword">false</span>);</div>
<div class="line"><a name="l00389"></a><span class="lineno">  389</span>&#160;    }</div>
<div class="line"><a name="l00390"></a><span class="lineno">  390</span>&#160; </div>
<div class="line"><a name="l00397"></a><span class="lineno"><a class="line" href="classEigen_1_1SimplicialLLT.html#ae169f349fd0613a5797a679ac89c2f3b">  397</a></span>&#160;    <span class="keywordtype">void</span> <a class="code" href="classEigen_1_1SimplicialLLT.html#ae169f349fd0613a5797a679ac89c2f3b">factorize</a>(<span class="keyword">const</span> MatrixType&amp; a)</div>
<div class="line"><a name="l00398"></a><span class="lineno">  398</span>&#160;    {</div>
<div class="line"><a name="l00399"></a><span class="lineno">  399</span>&#160;      Base::template factorize&lt;false&gt;(a);</div>
<div class="line"><a name="l00400"></a><span class="lineno">  400</span>&#160;    }</div>
<div class="line"><a name="l00401"></a><span class="lineno">  401</span>&#160; </div>
<div class="line"><a name="l00403"></a><span class="lineno"><a class="line" href="classEigen_1_1SimplicialLLT.html#a97f0513586c6587cebd572106f9775ca">  403</a></span>&#160;    Scalar <a class="code" href="classEigen_1_1SimplicialLLT.html#a97f0513586c6587cebd572106f9775ca">determinant</a>()<span class="keyword"> const</span></div>
<div class="line"><a name="l00404"></a><span class="lineno">  404</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00405"></a><span class="lineno">  405</span>&#160;      Scalar detL = Base::m_matrix.diagonal().prod();</div>
<div class="line"><a name="l00406"></a><span class="lineno">  406</span>&#160;      <span class="keywordflow">return</span> numext::abs2(detL);</div>
<div class="line"><a name="l00407"></a><span class="lineno">  407</span>&#160;    }</div>
<div class="line"><a name="l00408"></a><span class="lineno">  408</span>&#160;};</div>
<div class="line"><a name="l00409"></a><span class="lineno">  409</span>&#160; </div>
<div class="line"><a name="l00430"></a><span class="lineno">  430</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> MatrixType_, <span class="keywordtype">int</span> UpLo_, <span class="keyword">typename</span> Ordering_&gt;</div>
<div class="line"><a name="l00431"></a><span class="lineno"><a class="line" href="classEigen_1_1SimplicialLDLT.html">  431</a></span>&#160;    <span class="keyword">class </span><a class="code" href="classEigen_1_1SimplicialLDLT.html">SimplicialLDLT</a> : <span class="keyword">public</span> <a class="code" href="classEigen_1_1SimplicialCholeskyBase.html">SimplicialCholeskyBase</a>&lt;SimplicialLDLT&lt;MatrixType_,UpLo_,Ordering_&gt; &gt;</div>
<div class="line"><a name="l00432"></a><span class="lineno">  432</span>&#160;{</div>
<div class="line"><a name="l00433"></a><span class="lineno">  433</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00434"></a><span class="lineno">  434</span>&#160;    <span class="keyword">typedef</span> MatrixType_ MatrixType;</div>
<div class="line"><a name="l00435"></a><span class="lineno">  435</span>&#160;    <span class="keyword">enum</span> { UpLo = UpLo_ };</div>
<div class="line"><a name="l00436"></a><span class="lineno">  436</span>&#160;    <span class="keyword">typedef</span> <a class="code" href="classEigen_1_1SimplicialCholeskyBase.html">SimplicialCholeskyBase&lt;SimplicialLDLT&gt;</a> <a class="code" href="classEigen_1_1SimplicialCholeskyBase.html">Base</a>;</div>
<div class="line"><a name="l00437"></a><span class="lineno">  437</span>&#160;    <span class="keyword">typedef</span> <span class="keyword">typename</span> MatrixType::Scalar Scalar;</div>
<div class="line"><a name="l00438"></a><span class="lineno">  438</span>&#160;    <span class="keyword">typedef</span> <span class="keyword">typename</span> MatrixType::RealScalar RealScalar;</div>
<div class="line"><a name="l00439"></a><span class="lineno">  439</span>&#160;    <span class="keyword">typedef</span> <span class="keyword">typename</span> MatrixType::StorageIndex StorageIndex;</div>
<div class="line"><a name="l00440"></a><span class="lineno">  440</span>&#160;    <span class="keyword">typedef</span> <a class="code" href="classEigen_1_1SparseMatrix.html">SparseMatrix&lt;Scalar,ColMajor,StorageIndex&gt;</a> <a class="code" href="classEigen_1_1SparseMatrix.html">CholMatrixType</a>;</div>
<div class="line"><a name="l00441"></a><span class="lineno">  441</span>&#160;    <span class="keyword">typedef</span> <a class="code" href="classEigen_1_1Matrix.html">Matrix&lt;Scalar,Dynamic,1&gt;</a> <a class="code" href="classEigen_1_1Matrix.html">VectorType</a>;</div>
<div class="line"><a name="l00442"></a><span class="lineno">  442</span>&#160;    <span class="keyword">typedef</span> internal::traits&lt;SimplicialLDLT&gt; Traits;</div>
<div class="line"><a name="l00443"></a><span class="lineno">  443</span>&#160;    <span class="keyword">typedef</span> <span class="keyword">typename</span> Traits::MatrixL  MatrixL;</div>
<div class="line"><a name="l00444"></a><span class="lineno">  444</span>&#160;    <span class="keyword">typedef</span> <span class="keyword">typename</span> Traits::MatrixU  MatrixU;</div>
<div class="line"><a name="l00445"></a><span class="lineno">  445</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00447"></a><span class="lineno"><a class="line" href="classEigen_1_1SimplicialLDLT.html#af9edcd0c4fae265a5a75dfffbbc5a1f3">  447</a></span>&#160;    <a class="code" href="classEigen_1_1SimplicialLDLT.html#af9edcd0c4fae265a5a75dfffbbc5a1f3">SimplicialLDLT</a>() : <a class="code" href="classEigen_1_1SimplicialCholeskyBase.html">Base</a>() {}</div>
<div class="line"><a name="l00448"></a><span class="lineno">  448</span>&#160; </div>
<div class="line"><a name="l00450"></a><span class="lineno"><a class="line" href="classEigen_1_1SimplicialLDLT.html#a24a6d9bc8efaaf0406e03846d0c44dfb">  450</a></span>&#160;    <span class="keyword">explicit</span> <a class="code" href="classEigen_1_1SimplicialLDLT.html#a24a6d9bc8efaaf0406e03846d0c44dfb">SimplicialLDLT</a>(<span class="keyword">const</span> MatrixType&amp; matrix)</div>
<div class="line"><a name="l00451"></a><span class="lineno">  451</span>&#160;        : <a class="code" href="classEigen_1_1SimplicialCholeskyBase.html">Base</a>(matrix) {}</div>
<div class="line"><a name="l00452"></a><span class="lineno">  452</span>&#160; </div>
<div class="line"><a name="l00454"></a><span class="lineno"><a class="line" href="classEigen_1_1SimplicialLDLT.html#ab064d59cdd06fef10eca2f62182c0e15">  454</a></span>&#160;    <span class="keyword">inline</span> <span class="keyword">const</span> <a class="code" href="classEigen_1_1Matrix.html">VectorType</a> <a class="code" href="classEigen_1_1SimplicialLDLT.html#ab064d59cdd06fef10eca2f62182c0e15">vectorD</a>()<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00455"></a><span class="lineno">  455</span>&#160;        eigen_assert(Base::m_factorizationIsOk &amp;&amp; <span class="stringliteral">&quot;Simplicial LDLT not factorized&quot;</span>);</div>
<div class="line"><a name="l00456"></a><span class="lineno">  456</span>&#160;        <span class="keywordflow">return</span> Base::m_diag;</div>
<div class="line"><a name="l00457"></a><span class="lineno">  457</span>&#160;    }</div>
<div class="line"><a name="l00459"></a><span class="lineno"><a class="line" href="classEigen_1_1SimplicialLDLT.html#a15f56d3708fe0ab07143d143a5c171ae">  459</a></span>&#160;    <span class="keyword">inline</span> <span class="keyword">const</span> MatrixL <a class="code" href="classEigen_1_1SimplicialLDLT.html#a15f56d3708fe0ab07143d143a5c171ae">matrixL</a>()<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00460"></a><span class="lineno">  460</span>&#160;        eigen_assert(Base::m_factorizationIsOk &amp;&amp; <span class="stringliteral">&quot;Simplicial LDLT not factorized&quot;</span>);</div>
<div class="line"><a name="l00461"></a><span class="lineno">  461</span>&#160;        <span class="keywordflow">return</span> Traits::getL(Base::m_matrix);</div>
<div class="line"><a name="l00462"></a><span class="lineno">  462</span>&#160;    }</div>
<div class="line"><a name="l00463"></a><span class="lineno">  463</span>&#160; </div>
<div class="line"><a name="l00465"></a><span class="lineno"><a class="line" href="classEigen_1_1SimplicialLDLT.html#a455e1e56f17a533a7125f8c37eb10e91">  465</a></span>&#160;    <span class="keyword">inline</span> <span class="keyword">const</span> MatrixU <a class="code" href="classEigen_1_1SimplicialLDLT.html#a455e1e56f17a533a7125f8c37eb10e91">matrixU</a>()<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00466"></a><span class="lineno">  466</span>&#160;        eigen_assert(Base::m_factorizationIsOk &amp;&amp; <span class="stringliteral">&quot;Simplicial LDLT not factorized&quot;</span>);</div>
<div class="line"><a name="l00467"></a><span class="lineno">  467</span>&#160;        <span class="keywordflow">return</span> Traits::getU(Base::m_matrix);</div>
<div class="line"><a name="l00468"></a><span class="lineno">  468</span>&#160;    }</div>
<div class="line"><a name="l00469"></a><span class="lineno">  469</span>&#160; </div>
<div class="line"><a name="l00471"></a><span class="lineno"><a class="line" href="classEigen_1_1SimplicialLDLT.html#a95083a8337138675763c0012179582ab">  471</a></span>&#160;    <a class="code" href="classEigen_1_1SimplicialLDLT.html">SimplicialLDLT</a>&amp; <a class="code" href="classEigen_1_1SimplicialLDLT.html#a95083a8337138675763c0012179582ab">compute</a>(<span class="keyword">const</span> MatrixType&amp; matrix)</div>
<div class="line"><a name="l00472"></a><span class="lineno">  472</span>&#160;    {</div>
<div class="line"><a name="l00473"></a><span class="lineno">  473</span>&#160;      Base::template compute&lt;true&gt;(matrix);</div>
<div class="line"><a name="l00474"></a><span class="lineno">  474</span>&#160;      <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00475"></a><span class="lineno">  475</span>&#160;    }</div>
<div class="line"><a name="l00476"></a><span class="lineno">  476</span>&#160;    </div>
<div class="line"><a name="l00483"></a><span class="lineno"><a class="line" href="classEigen_1_1SimplicialLDLT.html#a9819a81281724d8078aae19cf51bab32">  483</a></span>&#160;    <span class="keywordtype">void</span> <a class="code" href="classEigen_1_1SimplicialLDLT.html#a9819a81281724d8078aae19cf51bab32">analyzePattern</a>(<span class="keyword">const</span> MatrixType&amp; a)</div>
<div class="line"><a name="l00484"></a><span class="lineno">  484</span>&#160;    {</div>
<div class="line"><a name="l00485"></a><span class="lineno">  485</span>&#160;      Base::analyzePattern(a, <span class="keyword">true</span>);</div>
<div class="line"><a name="l00486"></a><span class="lineno">  486</span>&#160;    }</div>
<div class="line"><a name="l00487"></a><span class="lineno">  487</span>&#160; </div>
<div class="line"><a name="l00494"></a><span class="lineno"><a class="line" href="classEigen_1_1SimplicialLDLT.html#aaad814b3221a35bab2618a46a02d2afa">  494</a></span>&#160;    <span class="keywordtype">void</span> <a class="code" href="classEigen_1_1SimplicialLDLT.html#aaad814b3221a35bab2618a46a02d2afa">factorize</a>(<span class="keyword">const</span> MatrixType&amp; a)</div>
<div class="line"><a name="l00495"></a><span class="lineno">  495</span>&#160;    {</div>
<div class="line"><a name="l00496"></a><span class="lineno">  496</span>&#160;      Base::template factorize&lt;true&gt;(a);</div>
<div class="line"><a name="l00497"></a><span class="lineno">  497</span>&#160;    }</div>
<div class="line"><a name="l00498"></a><span class="lineno">  498</span>&#160; </div>
<div class="line"><a name="l00500"></a><span class="lineno"><a class="line" href="classEigen_1_1SimplicialLDLT.html#a0f32425a96e6bf9a1b54230370126c8d">  500</a></span>&#160;    Scalar <a class="code" href="classEigen_1_1SimplicialLDLT.html#a0f32425a96e6bf9a1b54230370126c8d">determinant</a>()<span class="keyword"> const</span></div>
<div class="line"><a name="l00501"></a><span class="lineno">  501</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00502"></a><span class="lineno">  502</span>&#160;      <span class="keywordflow">return</span> Base::m_diag.prod();</div>
<div class="line"><a name="l00503"></a><span class="lineno">  503</span>&#160;    }</div>
<div class="line"><a name="l00504"></a><span class="lineno">  504</span>&#160;};</div>
<div class="line"><a name="l00505"></a><span class="lineno">  505</span>&#160; </div>
<div class="line"><a name="l00512"></a><span class="lineno">  512</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> MatrixType_, <span class="keywordtype">int</span> UpLo_, <span class="keyword">typename</span> Ordering_&gt;</div>
<div class="line"><a name="l00513"></a><span class="lineno"><a class="line" href="classEigen_1_1SimplicialCholesky.html">  513</a></span>&#160;    <span class="keyword">class </span><a class="code" href="classEigen_1_1SimplicialCholesky.html">SimplicialCholesky</a> : <span class="keyword">public</span> <a class="code" href="classEigen_1_1SimplicialCholeskyBase.html">SimplicialCholeskyBase</a>&lt;SimplicialCholesky&lt;MatrixType_,UpLo_,Ordering_&gt; &gt;</div>
<div class="line"><a name="l00514"></a><span class="lineno">  514</span>&#160;{</div>
<div class="line"><a name="l00515"></a><span class="lineno">  515</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00516"></a><span class="lineno">  516</span>&#160;    <span class="keyword">typedef</span> MatrixType_ MatrixType;</div>
<div class="line"><a name="l00517"></a><span class="lineno">  517</span>&#160;    <span class="keyword">enum</span> { UpLo = UpLo_ };</div>
<div class="line"><a name="l00518"></a><span class="lineno">  518</span>&#160;    <span class="keyword">typedef</span> <a class="code" href="classEigen_1_1SimplicialCholeskyBase.html">SimplicialCholeskyBase&lt;SimplicialCholesky&gt;</a> <a class="code" href="classEigen_1_1SimplicialCholeskyBase.html">Base</a>;</div>
<div class="line"><a name="l00519"></a><span class="lineno">  519</span>&#160;    <span class="keyword">typedef</span> <span class="keyword">typename</span> MatrixType::Scalar Scalar;</div>
<div class="line"><a name="l00520"></a><span class="lineno">  520</span>&#160;    <span class="keyword">typedef</span> <span class="keyword">typename</span> MatrixType::RealScalar RealScalar;</div>
<div class="line"><a name="l00521"></a><span class="lineno">  521</span>&#160;    <span class="keyword">typedef</span> <span class="keyword">typename</span> MatrixType::StorageIndex StorageIndex;</div>
<div class="line"><a name="l00522"></a><span class="lineno">  522</span>&#160;    <span class="keyword">typedef</span> <a class="code" href="classEigen_1_1SparseMatrix.html">SparseMatrix&lt;Scalar,ColMajor,StorageIndex&gt;</a> <a class="code" href="classEigen_1_1SparseMatrix.html">CholMatrixType</a>;</div>
<div class="line"><a name="l00523"></a><span class="lineno">  523</span>&#160;    <span class="keyword">typedef</span> <a class="code" href="classEigen_1_1Matrix.html">Matrix&lt;Scalar,Dynamic,1&gt;</a> <a class="code" href="classEigen_1_1Matrix.html">VectorType</a>;</div>
<div class="line"><a name="l00524"></a><span class="lineno">  524</span>&#160;    <span class="keyword">typedef</span> internal::traits&lt;SimplicialCholesky&gt; Traits;</div>
<div class="line"><a name="l00525"></a><span class="lineno">  525</span>&#160;    <span class="keyword">typedef</span> internal::traits&lt;SimplicialLDLT&lt;MatrixType,UpLo&gt; &gt; LDLTTraits;</div>
<div class="line"><a name="l00526"></a><span class="lineno">  526</span>&#160;    <span class="keyword">typedef</span> internal::traits&lt;SimplicialLLT&lt;MatrixType,UpLo&gt;  &gt; LLTTraits;</div>
<div class="line"><a name="l00527"></a><span class="lineno">  527</span>&#160;  <span class="keyword">public</span>:</div>
<div class="line"><a name="l00528"></a><span class="lineno">  528</span>&#160;    <a class="code" href="classEigen_1_1SimplicialCholesky.html">SimplicialCholesky</a>() : <a class="code" href="classEigen_1_1SimplicialCholeskyBase.html">Base</a>(), m_LDLT(<span class="keyword">true</span>) {}</div>
<div class="line"><a name="l00529"></a><span class="lineno">  529</span>&#160; </div>
<div class="line"><a name="l00530"></a><span class="lineno">  530</span>&#160;    <span class="keyword">explicit</span> <a class="code" href="classEigen_1_1SimplicialCholesky.html">SimplicialCholesky</a>(<span class="keyword">const</span> MatrixType&amp; matrix)</div>
<div class="line"><a name="l00531"></a><span class="lineno">  531</span>&#160;      : <a class="code" href="classEigen_1_1SimplicialCholeskyBase.html">Base</a>(), m_LDLT(<span class="keyword">true</span>)</div>
<div class="line"><a name="l00532"></a><span class="lineno">  532</span>&#160;    {</div>
<div class="line"><a name="l00533"></a><span class="lineno">  533</span>&#160;      <a class="code" href="classEigen_1_1SimplicialCholesky.html#a456c154b8ca55bf58de69cdc32815f10">compute</a>(matrix);</div>
<div class="line"><a name="l00534"></a><span class="lineno">  534</span>&#160;    }</div>
<div class="line"><a name="l00535"></a><span class="lineno">  535</span>&#160; </div>
<div class="line"><a name="l00536"></a><span class="lineno">  536</span>&#160;    <a class="code" href="classEigen_1_1SimplicialCholesky.html">SimplicialCholesky</a>&amp; setMode(SimplicialCholeskyMode mode)</div>
<div class="line"><a name="l00537"></a><span class="lineno">  537</span>&#160;    {</div>
<div class="line"><a name="l00538"></a><span class="lineno">  538</span>&#160;      <span class="keywordflow">switch</span>(mode)</div>
<div class="line"><a name="l00539"></a><span class="lineno">  539</span>&#160;      {</div>
<div class="line"><a name="l00540"></a><span class="lineno">  540</span>&#160;      <span class="keywordflow">case</span> SimplicialCholeskyLLT:</div>
<div class="line"><a name="l00541"></a><span class="lineno">  541</span>&#160;        m_LDLT = <span class="keyword">false</span>;</div>
<div class="line"><a name="l00542"></a><span class="lineno">  542</span>&#160;        <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00543"></a><span class="lineno">  543</span>&#160;      <span class="keywordflow">case</span> SimplicialCholeskyLDLT:</div>
<div class="line"><a name="l00544"></a><span class="lineno">  544</span>&#160;        m_LDLT = <span class="keyword">true</span>;</div>
<div class="line"><a name="l00545"></a><span class="lineno">  545</span>&#160;        <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00546"></a><span class="lineno">  546</span>&#160;      <span class="keywordflow">default</span>:</div>
<div class="line"><a name="l00547"></a><span class="lineno">  547</span>&#160;        <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00548"></a><span class="lineno">  548</span>&#160;      }</div>
<div class="line"><a name="l00549"></a><span class="lineno">  549</span>&#160; </div>
<div class="line"><a name="l00550"></a><span class="lineno">  550</span>&#160;      <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00551"></a><span class="lineno">  551</span>&#160;    }</div>
<div class="line"><a name="l00552"></a><span class="lineno">  552</span>&#160; </div>
<div class="line"><a name="l00553"></a><span class="lineno">  553</span>&#160;    <span class="keyword">inline</span> <span class="keyword">const</span> <a class="code" href="classEigen_1_1Matrix.html">VectorType</a> vectorD()<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00554"></a><span class="lineno">  554</span>&#160;        eigen_assert(Base::m_factorizationIsOk &amp;&amp; <span class="stringliteral">&quot;Simplicial Cholesky not factorized&quot;</span>);</div>
<div class="line"><a name="l00555"></a><span class="lineno">  555</span>&#160;        <span class="keywordflow">return</span> Base::m_diag;</div>
<div class="line"><a name="l00556"></a><span class="lineno">  556</span>&#160;    }</div>
<div class="line"><a name="l00557"></a><span class="lineno">  557</span>&#160;    <span class="keyword">inline</span> <span class="keyword">const</span> <a class="code" href="classEigen_1_1SparseMatrix.html">CholMatrixType</a> rawMatrix()<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00558"></a><span class="lineno">  558</span>&#160;        eigen_assert(Base::m_factorizationIsOk &amp;&amp; <span class="stringliteral">&quot;Simplicial Cholesky not factorized&quot;</span>);</div>
<div class="line"><a name="l00559"></a><span class="lineno">  559</span>&#160;        <span class="keywordflow">return</span> Base::m_matrix;</div>
<div class="line"><a name="l00560"></a><span class="lineno">  560</span>&#160;    }</div>
<div class="line"><a name="l00561"></a><span class="lineno">  561</span>&#160;    </div>
<div class="line"><a name="l00563"></a><span class="lineno"><a class="line" href="classEigen_1_1SimplicialCholesky.html#a456c154b8ca55bf58de69cdc32815f10">  563</a></span>&#160;    <a class="code" href="classEigen_1_1SimplicialCholesky.html">SimplicialCholesky</a>&amp; <a class="code" href="classEigen_1_1SimplicialCholesky.html#a456c154b8ca55bf58de69cdc32815f10">compute</a>(<span class="keyword">const</span> MatrixType&amp; matrix)</div>
<div class="line"><a name="l00564"></a><span class="lineno">  564</span>&#160;    {</div>
<div class="line"><a name="l00565"></a><span class="lineno">  565</span>&#160;      <span class="keywordflow">if</span>(m_LDLT)</div>
<div class="line"><a name="l00566"></a><span class="lineno">  566</span>&#160;        Base::template compute&lt;true&gt;(matrix);</div>
<div class="line"><a name="l00567"></a><span class="lineno">  567</span>&#160;      <span class="keywordflow">else</span></div>
<div class="line"><a name="l00568"></a><span class="lineno">  568</span>&#160;        Base::template compute&lt;false&gt;(matrix);</div>
<div class="line"><a name="l00569"></a><span class="lineno">  569</span>&#160;      <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00570"></a><span class="lineno">  570</span>&#160;    }</div>
<div class="line"><a name="l00571"></a><span class="lineno">  571</span>&#160; </div>
<div class="line"><a name="l00578"></a><span class="lineno"><a class="line" href="classEigen_1_1SimplicialCholesky.html#a933208668e536b51a5c0b58f4e4ca6bf">  578</a></span>&#160;    <span class="keywordtype">void</span> <a class="code" href="classEigen_1_1SimplicialCholesky.html#a933208668e536b51a5c0b58f4e4ca6bf">analyzePattern</a>(<span class="keyword">const</span> MatrixType&amp; a)</div>
<div class="line"><a name="l00579"></a><span class="lineno">  579</span>&#160;    {</div>
<div class="line"><a name="l00580"></a><span class="lineno">  580</span>&#160;      Base::analyzePattern(a, m_LDLT);</div>
<div class="line"><a name="l00581"></a><span class="lineno">  581</span>&#160;    }</div>
<div class="line"><a name="l00582"></a><span class="lineno">  582</span>&#160; </div>
<div class="line"><a name="l00589"></a><span class="lineno"><a class="line" href="classEigen_1_1SimplicialCholesky.html#a55f218f65886adc0ba3ac674ed1d2660">  589</a></span>&#160;    <span class="keywordtype">void</span> <a class="code" href="classEigen_1_1SimplicialCholesky.html#a55f218f65886adc0ba3ac674ed1d2660">factorize</a>(<span class="keyword">const</span> MatrixType&amp; a)</div>
<div class="line"><a name="l00590"></a><span class="lineno">  590</span>&#160;    {</div>
<div class="line"><a name="l00591"></a><span class="lineno">  591</span>&#160;      <span class="keywordflow">if</span>(m_LDLT)</div>
<div class="line"><a name="l00592"></a><span class="lineno">  592</span>&#160;        Base::template factorize&lt;true&gt;(a);</div>
<div class="line"><a name="l00593"></a><span class="lineno">  593</span>&#160;      <span class="keywordflow">else</span></div>
<div class="line"><a name="l00594"></a><span class="lineno">  594</span>&#160;        Base::template factorize&lt;false&gt;(a);</div>
<div class="line"><a name="l00595"></a><span class="lineno">  595</span>&#160;    }</div>
<div class="line"><a name="l00596"></a><span class="lineno">  596</span>&#160; </div>
<div class="line"><a name="l00598"></a><span class="lineno">  598</span>&#160;    <span class="keyword">template</span>&lt;<span class="keyword">typename</span> Rhs,<span class="keyword">typename</span> Dest&gt;</div>
<div class="line"><a name="l00599"></a><span class="lineno">  599</span>&#160;    <span class="keywordtype">void</span> _solve_impl(<span class="keyword">const</span> <a class="code" href="classEigen_1_1MatrixBase.html">MatrixBase&lt;Rhs&gt;</a> &amp;b, <a class="code" href="classEigen_1_1MatrixBase.html">MatrixBase&lt;Dest&gt;</a> &amp;dest)<span class="keyword"> const</span></div>
<div class="line"><a name="l00600"></a><span class="lineno">  600</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00601"></a><span class="lineno">  601</span>&#160;      eigen_assert(Base::m_factorizationIsOk &amp;&amp; <span class="stringliteral">&quot;The decomposition is not in a valid state for solving, you must first call either compute() or symbolic()/numeric()&quot;</span>);</div>
<div class="line"><a name="l00602"></a><span class="lineno">  602</span>&#160;      eigen_assert(Base::m_matrix.rows()==b.<a class="code" href="classEigen_1_1DenseCoeffsBase_3_01Derived_00_01DirectWriteAccessors_01_4.html#ac22eb0695d00edd7d4a3b2d0a98b81c2">rows</a>());</div>
<div class="line"><a name="l00603"></a><span class="lineno">  603</span>&#160; </div>
<div class="line"><a name="l00604"></a><span class="lineno">  604</span>&#160;      <span class="keywordflow">if</span>(Base::m_info!=<a class="code" href="group__enums.html#gga85fad7b87587764e5cf6b513a9e0ee5ea671a2aeb0f527802806a441d58a80fcf">Success</a>)</div>
<div class="line"><a name="l00605"></a><span class="lineno">  605</span>&#160;        <span class="keywordflow">return</span>;</div>
<div class="line"><a name="l00606"></a><span class="lineno">  606</span>&#160; </div>
<div class="line"><a name="l00607"></a><span class="lineno">  607</span>&#160;      <span class="keywordflow">if</span>(Base::m_P.size()&gt;0)</div>
<div class="line"><a name="l00608"></a><span class="lineno">  608</span>&#160;        dest = Base::m_P * b;</div>
<div class="line"><a name="l00609"></a><span class="lineno">  609</span>&#160;      <span class="keywordflow">else</span></div>
<div class="line"><a name="l00610"></a><span class="lineno">  610</span>&#160;        dest = b;</div>
<div class="line"><a name="l00611"></a><span class="lineno">  611</span>&#160; </div>
<div class="line"><a name="l00612"></a><span class="lineno">  612</span>&#160;      <span class="keywordflow">if</span>(Base::m_matrix.nonZeros()&gt;0) <span class="comment">// otherwise L==I</span></div>
<div class="line"><a name="l00613"></a><span class="lineno">  613</span>&#160;      {</div>
<div class="line"><a name="l00614"></a><span class="lineno">  614</span>&#160;        <span class="keywordflow">if</span>(m_LDLT)</div>
<div class="line"><a name="l00615"></a><span class="lineno">  615</span>&#160;          LDLTTraits::getL(Base::m_matrix).solveInPlace(dest);</div>
<div class="line"><a name="l00616"></a><span class="lineno">  616</span>&#160;        <span class="keywordflow">else</span></div>
<div class="line"><a name="l00617"></a><span class="lineno">  617</span>&#160;          LLTTraits::getL(Base::m_matrix).solveInPlace(dest);</div>
<div class="line"><a name="l00618"></a><span class="lineno">  618</span>&#160;      }</div>
<div class="line"><a name="l00619"></a><span class="lineno">  619</span>&#160; </div>
<div class="line"><a name="l00620"></a><span class="lineno">  620</span>&#160;      <span class="keywordflow">if</span>(Base::m_diag.size()&gt;0)</div>
<div class="line"><a name="l00621"></a><span class="lineno">  621</span>&#160;        dest = Base::m_diag.real().<a class="code" href="classEigen_1_1MatrixBase.html#a14235b62c90f93fe910070b4743782d0">asDiagonal</a>().inverse() * dest;</div>
<div class="line"><a name="l00622"></a><span class="lineno">  622</span>&#160; </div>
<div class="line"><a name="l00623"></a><span class="lineno">  623</span>&#160;      <span class="keywordflow">if</span> (Base::m_matrix.nonZeros()&gt;0) <span class="comment">// otherwise I==I</span></div>
<div class="line"><a name="l00624"></a><span class="lineno">  624</span>&#160;      {</div>
<div class="line"><a name="l00625"></a><span class="lineno">  625</span>&#160;        <span class="keywordflow">if</span>(m_LDLT)</div>
<div class="line"><a name="l00626"></a><span class="lineno">  626</span>&#160;          LDLTTraits::getU(Base::m_matrix).solveInPlace(dest);</div>
<div class="line"><a name="l00627"></a><span class="lineno">  627</span>&#160;        <span class="keywordflow">else</span></div>
<div class="line"><a name="l00628"></a><span class="lineno">  628</span>&#160;          LLTTraits::getU(Base::m_matrix).solveInPlace(dest);</div>
<div class="line"><a name="l00629"></a><span class="lineno">  629</span>&#160;      }</div>
<div class="line"><a name="l00630"></a><span class="lineno">  630</span>&#160; </div>
<div class="line"><a name="l00631"></a><span class="lineno">  631</span>&#160;      <span class="keywordflow">if</span>(Base::m_P.size()&gt;0)</div>
<div class="line"><a name="l00632"></a><span class="lineno">  632</span>&#160;        dest = Base::m_Pinv * dest;</div>
<div class="line"><a name="l00633"></a><span class="lineno">  633</span>&#160;    }</div>
<div class="line"><a name="l00634"></a><span class="lineno">  634</span>&#160;    </div>
<div class="line"><a name="l00636"></a><span class="lineno">  636</span>&#160;    <span class="keyword">template</span>&lt;<span class="keyword">typename</span> Rhs,<span class="keyword">typename</span> Dest&gt;</div>
<div class="line"><a name="l00637"></a><span class="lineno">  637</span>&#160;    <span class="keywordtype">void</span> _solve_impl(<span class="keyword">const</span> SparseMatrixBase&lt;Rhs&gt; &amp;b, SparseMatrixBase&lt;Dest&gt; &amp;dest)<span class="keyword"> const</span></div>
<div class="line"><a name="l00638"></a><span class="lineno">  638</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00639"></a><span class="lineno">  639</span>&#160;      internal::solve_sparse_through_dense_panels(*<span class="keyword">this</span>, b, dest);</div>
<div class="line"><a name="l00640"></a><span class="lineno">  640</span>&#160;    }</div>
<div class="line"><a name="l00641"></a><span class="lineno">  641</span>&#160;    </div>
<div class="line"><a name="l00642"></a><span class="lineno">  642</span>&#160;    Scalar determinant()<span class="keyword"> const</span></div>
<div class="line"><a name="l00643"></a><span class="lineno">  643</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00644"></a><span class="lineno">  644</span>&#160;      <span class="keywordflow">if</span>(m_LDLT)</div>
<div class="line"><a name="l00645"></a><span class="lineno">  645</span>&#160;      {</div>
<div class="line"><a name="l00646"></a><span class="lineno">  646</span>&#160;        <span class="keywordflow">return</span> Base::m_diag.prod();</div>
<div class="line"><a name="l00647"></a><span class="lineno">  647</span>&#160;      }</div>
<div class="line"><a name="l00648"></a><span class="lineno">  648</span>&#160;      <span class="keywordflow">else</span></div>
<div class="line"><a name="l00649"></a><span class="lineno">  649</span>&#160;      {</div>
<div class="line"><a name="l00650"></a><span class="lineno">  650</span>&#160;        Scalar detL = Diagonal&lt;const CholMatrixType&gt;(Base::m_matrix).prod();</div>
<div class="line"><a name="l00651"></a><span class="lineno">  651</span>&#160;        <span class="keywordflow">return</span> numext::abs2(detL);</div>
<div class="line"><a name="l00652"></a><span class="lineno">  652</span>&#160;      }</div>
<div class="line"><a name="l00653"></a><span class="lineno">  653</span>&#160;    }</div>
<div class="line"><a name="l00654"></a><span class="lineno">  654</span>&#160;    </div>
<div class="line"><a name="l00655"></a><span class="lineno">  655</span>&#160;  <span class="keyword">protected</span>:</div>
<div class="line"><a name="l00656"></a><span class="lineno">  656</span>&#160;    <span class="keywordtype">bool</span> m_LDLT;</div>
<div class="line"><a name="l00657"></a><span class="lineno">  657</span>&#160;};</div>
<div class="line"><a name="l00658"></a><span class="lineno">  658</span>&#160; </div>
<div class="line"><a name="l00659"></a><span class="lineno">  659</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Derived&gt;</div>
<div class="line"><a name="l00660"></a><span class="lineno">  660</span>&#160;<span class="keywordtype">void</span> SimplicialCholeskyBase&lt;Derived&gt;::ordering(<span class="keyword">const</span> MatrixType&amp; a, ConstCholMatrixPtr &amp;pmat, CholMatrixType&amp; ap)</div>
<div class="line"><a name="l00661"></a><span class="lineno">  661</span>&#160;{</div>
<div class="line"><a name="l00662"></a><span class="lineno">  662</span>&#160;  eigen_assert(a.rows()==a.cols());</div>
<div class="line"><a name="l00663"></a><span class="lineno">  663</span>&#160;  <span class="keyword">const</span> <a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> size = a.rows();</div>
<div class="line"><a name="l00664"></a><span class="lineno">  664</span>&#160;  pmat = &amp;ap;</div>
<div class="line"><a name="l00665"></a><span class="lineno">  665</span>&#160;  <span class="comment">// Note that ordering methods compute the inverse permutation</span></div>
<div class="line"><a name="l00666"></a><span class="lineno">  666</span>&#160;  <span class="keywordflow">if</span>(!internal::is_same&lt;OrderingType,NaturalOrdering&lt;Index&gt; &gt;::value)</div>
<div class="line"><a name="l00667"></a><span class="lineno">  667</span>&#160;  {</div>
<div class="line"><a name="l00668"></a><span class="lineno">  668</span>&#160;    {</div>
<div class="line"><a name="l00669"></a><span class="lineno">  669</span>&#160;      CholMatrixType C;</div>
<div class="line"><a name="l00670"></a><span class="lineno">  670</span>&#160;      C = a.template selfadjointView&lt;UpLo&gt;();</div>
<div class="line"><a name="l00671"></a><span class="lineno">  671</span>&#160;      </div>
<div class="line"><a name="l00672"></a><span class="lineno">  672</span>&#160;      OrderingType ordering;</div>
<div class="line"><a name="l00673"></a><span class="lineno">  673</span>&#160;      ordering(C,m_Pinv);</div>
<div class="line"><a name="l00674"></a><span class="lineno">  674</span>&#160;    }</div>
<div class="line"><a name="l00675"></a><span class="lineno">  675</span>&#160; </div>
<div class="line"><a name="l00676"></a><span class="lineno">  676</span>&#160;    <span class="keywordflow">if</span>(m_Pinv.size()&gt;0) m_P = m_Pinv.inverse();</div>
<div class="line"><a name="l00677"></a><span class="lineno">  677</span>&#160;    <span class="keywordflow">else</span>                m_P.resize(0);</div>
<div class="line"><a name="l00678"></a><span class="lineno">  678</span>&#160;    </div>
<div class="line"><a name="l00679"></a><span class="lineno">  679</span>&#160;    ap.resize(size,size);</div>
<div class="line"><a name="l00680"></a><span class="lineno">  680</span>&#160;    ap.template selfadjointView&lt;Upper&gt;() = a.template selfadjointView&lt;UpLo&gt;().twistedBy(m_P);</div>
<div class="line"><a name="l00681"></a><span class="lineno">  681</span>&#160;  }</div>
<div class="line"><a name="l00682"></a><span class="lineno">  682</span>&#160;  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00683"></a><span class="lineno">  683</span>&#160;  {</div>
<div class="line"><a name="l00684"></a><span class="lineno">  684</span>&#160;    m_Pinv.resize(0);</div>
<div class="line"><a name="l00685"></a><span class="lineno">  685</span>&#160;    m_P.resize(0);</div>
<div class="line"><a name="l00686"></a><span class="lineno">  686</span>&#160;    <span class="keywordflow">if</span>(<span class="keywordtype">int</span>(UpLo)==<span class="keywordtype">int</span>(<a class="code" href="group__enums.html#gga39e3366ff5554d731e7dc8bb642f83cdaf581029282d421eee5aae14238c6f749">Lower</a>) || MatrixType::IsRowMajor)</div>
<div class="line"><a name="l00687"></a><span class="lineno">  687</span>&#160;    {</div>
<div class="line"><a name="l00688"></a><span class="lineno">  688</span>&#160;      <span class="comment">// we have to transpose the lower part to to the upper one</span></div>
<div class="line"><a name="l00689"></a><span class="lineno">  689</span>&#160;      ap.resize(size,size);</div>
<div class="line"><a name="l00690"></a><span class="lineno">  690</span>&#160;      ap.template selfadjointView&lt;Upper&gt;() = a.template selfadjointView&lt;UpLo&gt;();</div>
<div class="line"><a name="l00691"></a><span class="lineno">  691</span>&#160;    }</div>
<div class="line"><a name="l00692"></a><span class="lineno">  692</span>&#160;    <span class="keywordflow">else</span></div>
<div class="line"><a name="l00693"></a><span class="lineno">  693</span>&#160;      internal::simplicial_cholesky_grab_input&lt;CholMatrixType,MatrixType&gt;::run(a, pmat, ap);</div>
<div class="line"><a name="l00694"></a><span class="lineno">  694</span>&#160;  }  </div>
<div class="line"><a name="l00695"></a><span class="lineno">  695</span>&#160;}</div>
<div class="line"><a name="l00696"></a><span class="lineno">  696</span>&#160; </div>
<div class="line"><a name="l00697"></a><span class="lineno">  697</span>&#160;} <span class="comment">// end namespace Eigen</span></div>
<div class="line"><a name="l00698"></a><span class="lineno">  698</span>&#160; </div>
<div class="line"><a name="l00699"></a><span class="lineno">  699</span>&#160;<span class="preprocessor">#endif </span><span class="comment">// EIGEN_SIMPLICIAL_CHOLESKY_H</span></div>
<div class="ttc" id="aclassEigen_1_1DenseCoeffsBase_3_01Derived_00_01DirectWriteAccessors_01_4_html_ac22eb0695d00edd7d4a3b2d0a98b81c2"><div class="ttname"><a href="classEigen_1_1DenseCoeffsBase_3_01Derived_00_01DirectWriteAccessors_01_4.html#ac22eb0695d00edd7d4a3b2d0a98b81c2">Eigen::DenseCoeffsBase&lt; Derived, DirectWriteAccessors &gt;::rows</a></div><div class="ttdeci">EIGEN_CONSTEXPR Index rows() const EIGEN_NOEXCEPT</div><div class="ttdef"><b>Definition:</b> EigenBase.h:62</div></div>
<div class="ttc" id="aclassEigen_1_1MatrixBase_html"><div class="ttname"><a href="classEigen_1_1MatrixBase.html">Eigen::MatrixBase</a></div><div class="ttdoc">Base class for all dense matrices, vectors, and expressions.</div><div class="ttdef"><b>Definition:</b> MatrixBase.h:52</div></div>
<div class="ttc" id="aclassEigen_1_1MatrixBase_html_a14235b62c90f93fe910070b4743782d0"><div class="ttname"><a href="classEigen_1_1MatrixBase.html#a14235b62c90f93fe910070b4743782d0">Eigen::MatrixBase::asDiagonal</a></div><div class="ttdeci">const DiagonalWrapper&lt; const Derived &gt; asDiagonal() const</div><div class="ttdef"><b>Definition:</b> DiagonalMatrix.h:327</div></div>
<div class="ttc" id="aclassEigen_1_1Matrix_html"><div class="ttname"><a href="classEigen_1_1Matrix.html">Eigen::Matrix&lt; Scalar, Dynamic, 1 &gt;</a></div></div>
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<div class="ttc" id="aclassEigen_1_1PermutationMatrix_html"><div class="ttname"><a href="classEigen_1_1PermutationMatrix.html">Eigen::PermutationMatrix&lt; Dynamic, Dynamic, StorageIndex &gt;</a></div></div>
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<div class="ttc" id="aclassEigen_1_1SimplicialCholeskyBase_html_a098baba1dbe07ca3a775c8df1f8a0e71"><div class="ttname"><a href="classEigen_1_1SimplicialCholeskyBase.html#a098baba1dbe07ca3a775c8df1f8a0e71">Eigen::SimplicialCholeskyBase::SimplicialCholeskyBase</a></div><div class="ttdeci">SimplicialCholeskyBase()</div><div class="ttdef"><b>Definition:</b> SimplicialCholesky.h:84</div></div>
<div class="ttc" id="aclassEigen_1_1SimplicialCholeskyBase_html_a0e23d1f4a88c211be7098faf1cb41674"><div class="ttname"><a href="classEigen_1_1SimplicialCholeskyBase.html#a0e23d1f4a88c211be7098faf1cb41674">Eigen::SimplicialCholeskyBase::permutationPinv</a></div><div class="ttdeci">const PermutationMatrix&lt; Dynamic, Dynamic, StorageIndex &gt; &amp; permutationPinv() const</div><div class="ttdef"><b>Definition:</b> SimplicialCholesky.h:130</div></div>
<div class="ttc" id="aclassEigen_1_1SimplicialCholeskyBase_html_a362352f755101faaac59c1ed9d5e3559"><div class="ttname"><a href="classEigen_1_1SimplicialCholeskyBase.html#a362352f755101faaac59c1ed9d5e3559">Eigen::SimplicialCholeskyBase::setShift</a></div><div class="ttdeci">Derived &amp; setShift(const RealScalar &amp;offset, const RealScalar &amp;scale=1)</div><div class="ttdef"><b>Definition:</b> SimplicialCholesky.h:142</div></div>
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<div class="ttc" id="aclassEigen_1_1SimplicialCholesky_html_a55f218f65886adc0ba3ac674ed1d2660"><div class="ttname"><a href="classEigen_1_1SimplicialCholesky.html#a55f218f65886adc0ba3ac674ed1d2660">Eigen::SimplicialCholesky::factorize</a></div><div class="ttdeci">void factorize(const MatrixType &amp;a)</div><div class="ttdef"><b>Definition:</b> SimplicialCholesky.h:589</div></div>
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<div class="ttc" id="aclassEigen_1_1SimplicialLDLT_html_a15f56d3708fe0ab07143d143a5c171ae"><div class="ttname"><a href="classEigen_1_1SimplicialLDLT.html#a15f56d3708fe0ab07143d143a5c171ae">Eigen::SimplicialLDLT::matrixL</a></div><div class="ttdeci">const MatrixL matrixL() const</div><div class="ttdef"><b>Definition:</b> SimplicialCholesky.h:459</div></div>
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<div class="ttc" id="aclassEigen_1_1SimplicialLDLT_html_a455e1e56f17a533a7125f8c37eb10e91"><div class="ttname"><a href="classEigen_1_1SimplicialLDLT.html#a455e1e56f17a533a7125f8c37eb10e91">Eigen::SimplicialLDLT::matrixU</a></div><div class="ttdeci">const MatrixU matrixU() const</div><div class="ttdef"><b>Definition:</b> SimplicialCholesky.h:465</div></div>
<div class="ttc" id="aclassEigen_1_1SimplicialLDLT_html_a95083a8337138675763c0012179582ab"><div class="ttname"><a href="classEigen_1_1SimplicialLDLT.html#a95083a8337138675763c0012179582ab">Eigen::SimplicialLDLT::compute</a></div><div class="ttdeci">SimplicialLDLT &amp; compute(const MatrixType &amp;matrix)</div><div class="ttdef"><b>Definition:</b> SimplicialCholesky.h:471</div></div>
<div class="ttc" id="aclassEigen_1_1SimplicialLDLT_html_a9819a81281724d8078aae19cf51bab32"><div class="ttname"><a href="classEigen_1_1SimplicialLDLT.html#a9819a81281724d8078aae19cf51bab32">Eigen::SimplicialLDLT::analyzePattern</a></div><div class="ttdeci">void analyzePattern(const MatrixType &amp;a)</div><div class="ttdef"><b>Definition:</b> SimplicialCholesky.h:483</div></div>
<div class="ttc" id="aclassEigen_1_1SimplicialLDLT_html_aaad814b3221a35bab2618a46a02d2afa"><div class="ttname"><a href="classEigen_1_1SimplicialLDLT.html#aaad814b3221a35bab2618a46a02d2afa">Eigen::SimplicialLDLT::factorize</a></div><div class="ttdeci">void factorize(const MatrixType &amp;a)</div><div class="ttdef"><b>Definition:</b> SimplicialCholesky.h:494</div></div>
<div class="ttc" id="aclassEigen_1_1SimplicialLDLT_html_ab064d59cdd06fef10eca2f62182c0e15"><div class="ttname"><a href="classEigen_1_1SimplicialLDLT.html#ab064d59cdd06fef10eca2f62182c0e15">Eigen::SimplicialLDLT::vectorD</a></div><div class="ttdeci">const VectorType vectorD() const</div><div class="ttdef"><b>Definition:</b> SimplicialCholesky.h:454</div></div>
<div class="ttc" id="aclassEigen_1_1SimplicialLDLT_html_af9edcd0c4fae265a5a75dfffbbc5a1f3"><div class="ttname"><a href="classEigen_1_1SimplicialLDLT.html#af9edcd0c4fae265a5a75dfffbbc5a1f3">Eigen::SimplicialLDLT::SimplicialLDLT</a></div><div class="ttdeci">SimplicialLDLT()</div><div class="ttdef"><b>Definition:</b> SimplicialCholesky.h:447</div></div>
<div class="ttc" id="aclassEigen_1_1SimplicialLLT_html"><div class="ttname"><a href="classEigen_1_1SimplicialLLT.html">Eigen::SimplicialLLT</a></div><div class="ttdoc">A direct sparse LLT Cholesky factorizations.</div><div class="ttdef"><b>Definition:</b> SimplicialCholesky.h:341</div></div>
<div class="ttc" id="aclassEigen_1_1SimplicialLLT_html_a5ab0ef5f99451f7e0d46e8c92bb598fb"><div class="ttname"><a href="classEigen_1_1SimplicialLLT.html#a5ab0ef5f99451f7e0d46e8c92bb598fb">Eigen::SimplicialLLT::matrixL</a></div><div class="ttdeci">const MatrixL matrixL() const</div><div class="ttdef"><b>Definition:</b> SimplicialCholesky.h:362</div></div>
<div class="ttc" id="aclassEigen_1_1SimplicialLLT_html_a97f0513586c6587cebd572106f9775ca"><div class="ttname"><a href="classEigen_1_1SimplicialLLT.html#a97f0513586c6587cebd572106f9775ca">Eigen::SimplicialLLT::determinant</a></div><div class="ttdeci">Scalar determinant() const</div><div class="ttdef"><b>Definition:</b> SimplicialCholesky.h:403</div></div>
<div class="ttc" id="aclassEigen_1_1SimplicialLLT_html_abad3fde90ed6ddb3d3c7797018413f80"><div class="ttname"><a href="classEigen_1_1SimplicialLLT.html#abad3fde90ed6ddb3d3c7797018413f80">Eigen::SimplicialLLT::compute</a></div><div class="ttdeci">SimplicialLLT &amp; compute(const MatrixType &amp;matrix)</div><div class="ttdef"><b>Definition:</b> SimplicialCholesky.h:374</div></div>
<div class="ttc" id="aclassEigen_1_1SimplicialLLT_html_acfa0d751182344d2b4b97f044fa62720"><div class="ttname"><a href="classEigen_1_1SimplicialLLT.html#acfa0d751182344d2b4b97f044fa62720">Eigen::SimplicialLLT::matrixU</a></div><div class="ttdeci">const MatrixU matrixU() const</div><div class="ttdef"><b>Definition:</b> SimplicialCholesky.h:368</div></div>
<div class="ttc" id="aclassEigen_1_1SimplicialLLT_html_ad99c2c97ef0b1b46e7f5ef2e1f46ee7b"><div class="ttname"><a href="classEigen_1_1SimplicialLLT.html#ad99c2c97ef0b1b46e7f5ef2e1f46ee7b">Eigen::SimplicialLLT::SimplicialLLT</a></div><div class="ttdeci">SimplicialLLT()</div><div class="ttdef"><b>Definition:</b> SimplicialCholesky.h:356</div></div>
<div class="ttc" id="aclassEigen_1_1SimplicialLLT_html_adfdbccd4e817d2c8ff1226ae083b5498"><div class="ttname"><a href="classEigen_1_1SimplicialLLT.html#adfdbccd4e817d2c8ff1226ae083b5498">Eigen::SimplicialLLT::analyzePattern</a></div><div class="ttdeci">void analyzePattern(const MatrixType &amp;a)</div><div class="ttdef"><b>Definition:</b> SimplicialCholesky.h:386</div></div>
<div class="ttc" id="aclassEigen_1_1SimplicialLLT_html_ae169f349fd0613a5797a679ac89c2f3b"><div class="ttname"><a href="classEigen_1_1SimplicialLLT.html#ae169f349fd0613a5797a679ac89c2f3b">Eigen::SimplicialLLT::factorize</a></div><div class="ttdeci">void factorize(const MatrixType &amp;a)</div><div class="ttdef"><b>Definition:</b> SimplicialCholesky.h:397</div></div>
<div class="ttc" id="aclassEigen_1_1SimplicialLLT_html_afe8ad6af657317e0e19a289dbb19d129"><div class="ttname"><a href="classEigen_1_1SimplicialLLT.html#afe8ad6af657317e0e19a289dbb19d129">Eigen::SimplicialLLT::SimplicialLLT</a></div><div class="ttdeci">SimplicialLLT(const MatrixType &amp;matrix)</div><div class="ttdef"><b>Definition:</b> SimplicialCholesky.h:358</div></div>
<div class="ttc" id="aclassEigen_1_1SparseMatrix_html"><div class="ttname"><a href="classEigen_1_1SparseMatrix.html">Eigen::SparseMatrix&lt; Scalar, ColMajor, StorageIndex &gt;</a></div></div>
<div class="ttc" id="aclassEigen_1_1SparseMatrix_html_a03de8b3da2c142ce8698a76123b3e7d3"><div class="ttname"><a href="classEigen_1_1SparseMatrix.html#a03de8b3da2c142ce8698a76123b3e7d3">Eigen::SparseMatrix::nonZeros</a></div><div class="ttdeci">Index nonZeros() const</div><div class="ttdef"><b>Definition:</b> SparseCompressedBase.h:58</div></div>
<div class="ttc" id="aclassEigen_1_1SparseMatrix_html_a36b8cc95234b4e2de38a199b6b2af9fc"><div class="ttname"><a href="classEigen_1_1SparseMatrix.html#a36b8cc95234b4e2de38a199b6b2af9fc">Eigen::SparseMatrix::cols</a></div><div class="ttdeci">Index cols() const</div><div class="ttdef"><b>Definition:</b> SparseMatrix.h:142</div></div>
<div class="ttc" id="aclassEigen_1_1SparseMatrix_html_a853a76dd42349fa2f3654a4a61e0f574"><div class="ttname"><a href="classEigen_1_1SparseMatrix.html#a853a76dd42349fa2f3654a4a61e0f574">Eigen::SparseMatrix::rows</a></div><div class="ttdeci">Index rows() const</div><div class="ttdef"><b>Definition:</b> SparseMatrix.h:140</div></div>
<div class="ttc" id="aclassEigen_1_1SparseSolverBase_html"><div class="ttname"><a href="classEigen_1_1SparseSolverBase.html">Eigen::SparseSolverBase</a></div><div class="ttdoc">A base class for sparse solvers.</div><div class="ttdef"><b>Definition:</b> SparseSolverBase.h:70</div></div>
<div class="ttc" id="agroup__enums_html_ga85fad7b87587764e5cf6b513a9e0ee5e"><div class="ttname"><a href="group__enums.html#ga85fad7b87587764e5cf6b513a9e0ee5e">Eigen::ComputationInfo</a></div><div class="ttdeci">ComputationInfo</div><div class="ttdef"><b>Definition:</b> Constants.h:442</div></div>
<div class="ttc" id="agroup__enums_html_gga39e3366ff5554d731e7dc8bb642f83cdaf581029282d421eee5aae14238c6f749"><div class="ttname"><a href="group__enums.html#gga39e3366ff5554d731e7dc8bb642f83cdaf581029282d421eee5aae14238c6f749">Eigen::Lower</a></div><div class="ttdeci">@ Lower</div><div class="ttdef"><b>Definition:</b> Constants.h:211</div></div>
<div class="ttc" id="agroup__enums_html_gga39e3366ff5554d731e7dc8bb642f83cdafca2ccebb604f171656deb53e8c083c1"><div class="ttname"><a href="group__enums.html#gga39e3366ff5554d731e7dc8bb642f83cdafca2ccebb604f171656deb53e8c083c1">Eigen::Upper</a></div><div class="ttdeci">@ Upper</div><div class="ttdef"><b>Definition:</b> Constants.h:213</div></div>
<div class="ttc" id="agroup__enums_html_gga85fad7b87587764e5cf6b513a9e0ee5ea671a2aeb0f527802806a441d58a80fcf"><div class="ttname"><a href="group__enums.html#gga85fad7b87587764e5cf6b513a9e0ee5ea671a2aeb0f527802806a441d58a80fcf">Eigen::Success</a></div><div class="ttdeci">@ Success</div><div class="ttdef"><b>Definition:</b> Constants.h:444</div></div>
<div class="ttc" id="anamespaceEigen_html"><div class="ttname"><a href="namespaceEigen.html">Eigen</a></div><div class="ttdoc">Namespace containing all symbols from the Eigen library.</div><div class="ttdef"><b>Definition:</b> Core:139</div></div>
<div class="ttc" id="anamespaceEigen_html_a62e77e0933482dafde8fe197d9a2cfde"><div class="ttname"><a href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Eigen::Index</a></div><div class="ttdeci">EIGEN_DEFAULT_DENSE_INDEX_TYPE Index</div><div class="ttdoc">The Index type as used for the API.</div><div class="ttdef"><b>Definition:</b> Meta.h:59</div></div>
<div class="ttc" id="astructEigen_1_1SimplicialCholeskyBase_1_1keep__diag_html"><div class="ttname"><a href="structEigen_1_1SimplicialCholeskyBase_1_1keep__diag.html">Eigen::SimplicialCholeskyBase::keep_diag</a></div><div class="ttdef"><b>Definition:</b> SimplicialCholesky.h:254</div></div>
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